Consider the differential equation dy/dx = xy. Let y = f(x) be the function that satisfies the differential equation with initial condition f(1) = 1. Use Euler's Method, starting at x = 1 with a step size of .1, to approximate f(1.2).

Answers

Answer 1

Answer:

[tex]f(1.2)=1.221[/tex]

Step-by-step explanation:

From the question we are told that

[tex]dy/dx = xy[/tex]

Initial condition[tex]f(1) = 1.[/tex]

[tex]x = 1[/tex]

[tex]Step\ Size\ of\ 0.1[/tex]

Generally equation for [tex]y_1[/tex] is given mathematically as

[tex]f_0=F(1,1)=1[/tex]

Therefore

[tex]y_1=y_0+hf_0[/tex]

[tex]y_1=y_0+(0.1)(1)[/tex]

[tex]y_1=1.1[/tex]

Generally the approximation of the solution is mathematically given by

[tex]x=1+h\\x=1+0.1\\x=1.1[/tex]

[tex]y=1.1[/tex]

Generally the [tex]f_1[/tex] is mathematically given by

[tex]F_1=f(1.1,1.1)\\F_1=1.21[/tex]

Generally the [tex]y_2[/tex] is mathematically given by

[tex]y_2=y_1+hf_1\\y_2=1.1+0.121\\y_2=1.221[/tex]

Generally the approximation to the solution

at

[tex]y_2=1.221[/tex]

[tex]x_2=1.1+0.1\\x_2=1.2[/tex]

Therefore

[tex]f(1.2)=1.221[/tex]


Related Questions

how do i find the radius of a sphere when the circumference is 7.4 pi

Answers

Answer:

circumference = 2pi r

7.4 pi =2 pi r

divide both side by pi

7.4/2=r

3.7 = radius

Step-by-step explanation:

Answer:

To find the radius of a sphere when you have the circumference, divide the circumference by 2pi.

Step-by-step explanation:

7.4pi divided by 2pi would be 36.51753628 <—— and round that number up

Please note that I might be wrong as I have not learned this in have learned it in class but just don’t remember it.

Reshaun sells houses. He gets a 4% commission for every house he sells.This month he sold $518,000 worth of houses. How much does he earn in commission?

Answers

Answer:

$20,720

Step-by-step explanation:

$518,000 x 4% = $20,720

To solve this, you need to find 4% of $518,000

($518,000)0.04 = $20,720

He should earn $20,720 for his commissions for the year.

There are 24 kids on the soccer team and 3 coaches. What is the ratio of coaches to kids?

Answers

Answer:

3:24

Step-by-step explanation:

hello! i need it quick asap

Answers

 ○

 く|)へ <-me

  〉

━━━━━┓ \\

┓┓┓┓┓┃

┓┓┓┓┓┃ ヽ○ノ

┓┓┓┓┓┃  /

┓┓┓┓┓┃ ノ) <- you

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

┓┓┓┓┓┃

what is
150neuton*2squared

Answers

Answer:

600 newtons

Step-by-step explanation:

Andre and Diego were each trying to solve 2+6=3−8. Describe the first step they each make to the equation.The result of Diego’s first step was 6=−8.

Answers

Step-by-step explanation:

2+6=3-8

2+6=8

3-8=-5

8=-5

Complete the table for the following equation then graph the line. (Show steps in the middle column of table) y=-3x-2

Answers

Answer:

Step-by-step explanation:

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
2m-3 =2+1m

Answers

Answer:

m=5

Step-by-step explanation:

There are no fractions involved to eliminate.

2m-3=2+1m

m=5

Based on the given scenario, the solution to the equation 2m - 3 = 2 + 1m is m = 5.

What is fraction?

Fractions are a way of representing parts of a whole. They are written in the form of a numerator and a denominator, separated by a horizontal line.

For example, the fraction 3/4 represents three parts of a whole that is divided into four equal parts.

To eliminate the fractions in the equation 2m - 3 = 2 + 1m, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators of the fractions.

However, in this equation, there are no fractions, so we don't need to multiply by anything to eliminate them. The equation is already in a form that can be solved using basic algebraic techniques.

To solve for m, we can start by moving all the m terms to one side of the equation and all the constant terms to the other side:

2m - 1m = 2 + 3

Simplifying, we get:

m = 5

Therefore, the solution to the equation 2m - 3 = 2 + 1m is m = 5.

For more details regarding fraction, visit:

https://brainly.com/question/10354322

#SPJ7

Mr Smith opens a saving account with $200 and plans to put $50 per month in the account. Which expression represents this situation after x of months?

Answers

the equations you can use is y=50x + 200

A typical security camera frame rate is 30 frames per second. If a security incident over a 27 second period must be examined, how many frames may have to be checked for security purposes?

Answers

Answer:

810 frames

Step-by-step explanation:

30 frames per 1 sec : 'f' frames per 27 sec

30 x 27 = 810

Which division problem is equivalent to 25?


CLEAR CHECK

5÷2.


Divide 5 by 2.


Cut 5 equal sections from a 2-foot-long ribbon.


Split 5 cups of yogurt into 2 equal servings.

Answers

they all add up to 2.5 maybe u have to simplify?

A 4​-pound bag of wildflower seed covers 16 square feet. How many pounds of seed does it take to cover 1 square​ foot?

Answers

Answer:

.25 or 1/4 pounds

Step-by-step explanation:

In order to find the answer, divide 4 by 16.

4/16=.25

Answer:

0.25 or 64

Step-by-step explanation:

please help me , if f(x) = c and g(x) = f (x-3), which of the following best describes the graph of y = g(x)

Answers

I need this answer too can you please help me out too if you find the answer


Explanation

In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1/2%. At a local store a book costs $12.99 and a video game costs $39.99. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?

Answers

Answer:

12.99/100 X 108.5 = 14.09

39.99/100 X 108.5 = 43.39

43.39 - 14.09 = 29.3

difference = $29.30

Sixty people are in line for a show. Starting with the 1st person, you ask every 5th person if they bought their ticket in advance. Nine people say yes. Based on the sample, how many people bought tickets in advance?

Answers

Answer:

9 bought in advance

3 did not buy in advance

Step-by-step explanation:

Number of people in line = 60

The total number of people surveyed :

Every 5th person in line is questioned starting with the first in line :

Number of people sampled:

1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56

Total sampled from the 60 people in line = 12

If 9 people said yes ;

Then ;

9 people bought tickets in advance and ;

12 - 9 = 3 did not

the equation of the straight line passes through the point (0,2) and has a gradient of 1/3 is????

Answers

ExplanationSlope-Intercept

[tex]y = mx + b \\ m = slope /gradient \\b = y - intercept[/tex]

Substitute m = 1/3 in the equation.

[tex]y = \frac{1}{3} x + b[/tex]

Substitute the given coordinate point then solve the equation for b-term.

[tex](x,y) = (0,2)[/tex]

[tex]2 = \frac{1}{3} (0) + b \\ 2 = 0 + b \\ 2 = b[/tex]

Rewrite the equation by substituting the b-value.

[tex]y = \frac{1}{3} x + 2[/tex]

Answer

[tex] \large \boxed{y = \frac{1}{3} x + 2}[/tex]

If you have any question related to the answer, feel free to ask via comment.

I don't understand I need help​

Answers

Answer:

I think A

Step-by-step explanation:

because the side lengths should be the same and going down the middle.

if I am wrong plz tell me

Using Pythagorean theorem I got the answer 127.3ft the letter b

Help please ..........

Answers

Answer:

m∠1 = 30°

Step-by-step explanation:

Properties of a rhombus,

1). Sum of adjacent angles is 180°.

2). Diagonals bisects the angles of a rhombus

By property - (1)

m∠M + m∠N = 180°

120° + m∠N = 180°

m∠N = 180 - 120

         = 60°

By property - (2)

Diagonal PM will bisect the angle M.

m∠1 = m∠2

m∠1 = [tex]\frac{1}{2}(\angle N)[/tex]

       = [tex]\frac{1}{2}(60)[/tex]

       = 30°

Seven cups of yogurt cost $3.50. how much does one cup of yogurt cost?

Answers

7 cups = $3.50
1 cup = 3.50/7 = $0.5

Answer:

50 cents or .50

Step-by-step explanation:

20 chairs at 5 tables = ? chairs per table

Answers

Answer:

4 chairs per table

Step-by-step explanation:

Answer:

4 Chairs Per Table

Step-by-step explanation:

There are 20 tables at 5 tables.

We need to find the number of chairs per person.

Divide 20 by 5.

[tex]\frac{\text{Total Number of Chairs}}{\text{Total number of Tables}} =\frac{20}{5}=\frac{20/5}{5/5}=\frac{4}{1}=\boxed{4}[/tex]

There should be 4 chairs per table.

Hope this helps.

pls help me find slope ps first person with answer gets the brainest ​

Answers

Answer:

The slope is 1

Step-by-step explanation:

The line's equation is y=x+3

4-(-1)/1-(-4)=5/5=1. That's the slope.

Answer:

1

Step-by-step explanation:

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

([tex]x_1 , y_1[/tex]) = ([tex]-4 , -1[/tex])

([tex]x_2 , y_2[/tex]) = ([tex]1 , 4[/tex])

Plug in the corresponding numbers to the corresponding variables:

m = [tex]\frac{4 - (-1)}{1 - (-4)}[/tex] = [tex]\frac{4 + 1}{1 + 4} = \frac{5}{5}[/tex]

[tex]\frac{5}{5} = 1[/tex]

Your slope is 1.

~

+(8-9)-(32-40)+(16+20)=

Answers

Answer:

43

Step-by-step explanation:

( 8 - 9 ) - ( 32 - 40 ) + ( 16 + 20 )=

-1 - ( -8 ) + 36

-1 + 8 + 36

7 + 36

43

2 negatives become a positive.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Find the number whose 23.2% is 34.8.​

Answers

Answer:

The required number will be:

x = 150

Step-by-step explanation:

Let 'x' be the number

so

23.2% of x = 34.8

23.2% × x = 34.8

23.2/100 × x = 34.8

0.232x = 34.8

divide both sides by 0.232

0.232x/0.232 = 34.8/0.232

x = 150

Therefore, the required number will be:

x = 150

Maggie writes the equations below to find the unknown number
in 14 x 2 x 3 = 1. Which pair of equations shows another way that
Maggie could find the unknown number?
14 x 2 = 28
28 x 3= 0

Answers

Answer:so the answer is 2×3=6 28×3

Step-by-step explanation:well 14 * 2 equals 2828 * 3 equals 58

ILL MARK U BRAINLIEST
A race car is running at a constant rate toward the finish line. The equation y=3x+2 can be used to represent this situation, where y is the distance traveled in miles and x is the number of minutes the car has been running.

Which statement best describes the distance traveled, given the equation?

a. Two miles from the starting point, the race car is running 3 miles per minute.

b. Three miles from the starting point, the race car is running 2 miles per minute.

c. The car is running 2 miles per minute.

d. Five miles from the starting point, the car is running 3 miles per minute.

Answers

Answer:

a

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Martin has 1 5/6 liters of soda.
Each glass can hold 1/3 of a liter
of soda. How many glasses can
Martin completely fill with soda?

Answers

Answer:

5.5 glasses of water

Step-by-step explanation:

5.5 = 5.51.

5.51 = (5.5 × 10)(1 × 10) = 5510.

(55÷5)(10÷5) = 112 when reduced to the simplest form.

i.d.k how it is in fraction form sorry.

hope this helps!!


Solve for x.
8 + x = -4
Answer:

Answers

Answer:

x = -12

Step-by-step explanation:

Let's solve your equation step-by-step.

8+x=−4

Step 1: Simplify both sides of the equation.

x+8=−4

Step 2: Subtract 8 from both sides.

x+8−8=−4−8

x=−12

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

isolate the variable by dividing each side by factors that do not contain the variable

Determine the solution for the equation.

y^4 = 16, y = 1, 2, 4, 8, 16

(^ - means exponent)

Answers

Answer:
2^4=16
Hope i helped

32 divided by BLANK equals 8

Answers

Answer:

32 divided by 4 equals 8

Step-by-step explanation:

A 24 foot ladder is leaning against the side of a house and is positioned 21 feet
from the house. How far above the ground is the point where the ladder touches
the building?

Answers

Answer:

11.7 feet long

Step-by-step explanation:

Formula: a^2+b^2=c^2

a^2+21^2=24^2

a^2+441=576

576-144=135

Square root of 135 is 11.61895004

Round to the nearest tenth is 11.7

Other Questions
Factor the expression using GCF 7b-7 What determines which substrate an enzyme will act on? What will it cost to buy a rectangular window with a length of 10ft and a width of 13ft? The cost per square foot for this type of window is $7.02 per square foot. What is 6-32/3 With step by step explain C. Say where the following items are in the classroom in relation to the item indicated.Follow the modelModelo la bandera / el relojLa bandere est debajo del reloj1. la computadora / el escritorio2. la papelera / el escritorio3. la mesa / la ventana4. la silla / el escritorio5. el sacapuntas / la ventana Which notation describes {1, 2, 3} Need help!Which answer is correct? How does Achebe create a "new English" with his use of language in "Civil Peace"?O He fills his English with Igbo language patterns and rhythm.O He creates a completely new language, which he calls "new English."O He writes in Igbo and instills his writing with British proverbs and idioms.His language, aside from using English, is stripped of all British colonial influence.Guys hurry its timed!!! Compounding comparing accounts Which group contains the command to manually conduct a spell check ? If 15 larger paper clips were laid end to end to make a length of 17 7/8 inches, is each paper clip larger or smaller than one inch? Explain how you know. The bulk density of a compacted soil specimen (Gs = 2.70) and its water content are 2060 kg/m^3 and 15.3%, respectively. If the specimen is soaked in a bucket of water for sev-eral days until it is fully saturated, what should the saturated density be? can u please answer this sme one Is this set of ordered pairs a function?{(1, 1), (2,3), (3, 4), (4, 2), (5, 1)} A Why do many species that existed 35 million years ago no longer exist? In 2007 you weighed 207 pounds. In 2008 you weighed 198 pounds, and in 2009 youweighed 185 pounds. How many pounds did you lose from 2007 to 2009? Zoom in to see more clear :) What are the errors and explain why Why does Willow have Jairo take her to the library after she escapes the hospital?She wanted the comfort of books.She wanted to talk to a friendly librarian.She wanted to finda book about grieving over parents.She wanted to continue her weekly trips to the library. The Internet was first used by which of the following institutions?A.Nazi partyB.US Postal ServiceC.US Department of DefenseD.British Broadcast Corporation