Answer:
[tex]m + b=2[/tex]
Step-by-step explanation:
From the question we are told that
The non separable differential equation [tex]\frac{dy}{dx} = 8x - 2y[/tex]
Generally the chi form of a give equation is mathematically represented as
[tex]\frac{dy}{dx} +P(x)y= q(x)[/tex]
[tex]\frac{dy}{dx} + 2y = 8x[/tex]
[tex]ye^2^x=\int e^2^.8xdxx[/tex]
[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{\int e^2^x}{2})[/tex]
[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{e^2^x}{1})+c\\[/tex]
[tex]ye^2^x=4x^2^x-2e^2^x+c[/tex]
[tex]y=4x-2+c[/tex]
for c=0
[tex]y=4x-2[/tex]
Therefore
[tex]m=4\\b=-2\\m + b=4-(+2)[/tex]
[tex]m + b=2[/tex]
The linear particular solution of the form [tex]y=mx+b[/tex] where [tex]m+b=4-2=2[/tex]
Nonseparable differential equation:
Differential equations that cannot be written [tex]\frac{dy}{dx} =f(x)g(y)[/tex] are non-separable differential equations.
In other words, we can say those differential equations which are not separable are called non-separable differential equations.
The given equation is,
[tex]\frac{dy}{dx}=8x-2y[/tex]
This is in the form [tex]\frac{dy}{dx} +p(x)y=\phi(x)[/tex]
Here [tex]P=2, Q=8x[/tex]
So, [tex]e^{\int_{}^{}Pdx}=e^{\int_{}^{}2dx}=e^{2x}[/tex]
Therefore, the general solution is,
[tex]ye^{\int_{}^{}Pdx} =\int_{}^{}Qe^{\int_{}^{}Pdx}dx+c\\ye^{2x}=\int_{}^{}8xe^{2x}dx+c\\y=4x-2+c^{-2x}[/tex]
Learn more about the topic of nonseparable differential equations:
https://brainly.com/question/25731911
PLEASE HELP ASAP, MARKING BRAINLIEST!!
Find the value of x.
Answer:
A+*in a house*127^0/0
underfined
Step-by-step explanation:
Which list shows the integers in order from least to greatest ?
-8 , -5 , 0 , 2 , 6
0 , 2 , -5 , 6 , -8
-5 , -8 , 0 , 2 , 6
0 , -8 , -5 , 2, 6
Answer: Choice A) -8 , -5 , 0 , 2 , 6
I recommend drawing out a number line. The negative numbers will increase in magnitude as you move from 0 and go to the left. The positive values increase as you expect when going from left to right.
So we'll have -8 to the left of -5 since -8 is smaller than -5. The value -8 is 8 spots to the left of 0; while -5 is 5 spots to the left of 0. The value 0 is at the center of the number line universe so to speak.
An enclosed area is designed using one existing wall, and 72m of fence material. What is the maximum area of the enclosure?
Answer:
The maximum area possible is 648 squared meters.
Step-by-step explanation:
Let the length of the existing wall be [tex]\ell[/tex].
And let the width of the fence be [tex]w[/tex].
The area of the enclosure will be given by:
[tex]A=w\ell[/tex]
Since the area is bounded by one existing wall, the perimeter (the 72 meters of fencing material) will only be:
[tex]72=2w+\ell[/tex]
We want to maximize the area.
From the perimeter, we can subtract 2w from both sides to obtain:
[tex]\ell=72-2w[/tex]
Substituting this for our area formula, we acquire:
[tex]A=w(72-2w)[/tex]
This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex.
We can distribute:
[tex]A=-2w^2+72w[/tex]
Find the vertex of the quadratic. Using the vertex formula, we acquire that:
[tex]\displaystyle w=-\frac{b}{2a}=-\frac{(72)}{2(-2)}=18[/tex]
So, the maximum area is:
[tex]A=-2(18)^2+72(18)=648\text{ meters}^2[/tex]
f (x) = 1 – 4x
Calculate the value of f (2)
Answer:
Step-by-step explanation:
F (x) = 1 – 4x
Calculate the value of f (2)
Subsitution 1-4(2)=1-8=-7
The answer of f(2)=-7
I hope this answers ur question
Can somebody help me. Will mark brainliest.
Answer:
36 divided by 2 is 18
Step-by-step explanation:
So the answer is 18. Hope this helps!
Answer:
y=18
Step-by-step explanation:
Since the triangles are similar, y will be one half of 36
MARKING PEOPLE AS BRAINLIST
What type of triangle is this?
Answer:prism
Step-by-step explanation:
Answer:
A Scalene Triangle
Step-by-step explanation:
I hope this helps you out!
Find the surface area and the volume of the figure. Round to the nearest tenth.
What is the length of segment AC?
O 6 units
O 8 units
O 12 units
O 16 units
Answer:
16
Step-by-step explanation:
Answer:
12 units
Step-by-step explanation:
Edge 2021
Why is the set {(3,6), (4,8), (5 , 10), (3, 1), (6, 12), (7, 10)} NOT a function?
A. The ordered pairs are not in ascending order.
B. The ordered pairs do not all follow the rule y = 2x.
С. 3 is mapped to both 1 and 6.
D. Both 5 and 7 are mapped to 10.
Morgan surveyed 260 of the students in her school about their favorite color. 65% said their favorite color was red. How many students' favorite color was red?
Answer:
169 students
Step-by-step explanation:
From the above question:
Total number of students surveyed = 260
Percentage of students that their favorite colour is red = 65%
Hence: The number of students that their favorite color is red is calculated as:
= 65% × 260
= 65/100 × 260 students
= 169 students
The number of students that their favorite color is red is 169 students
Divided by how many characters in chick-fil-A-
Janet walks a distance of 3/5 mile in 1/10 hour. What is the average speed Janet walks per hour?
Answer:
speed = 3 miles per hour= 3 mi/h
Step-by-step explanation:
ASAP!!
Is 5x - 7= 18 and 7x + 5=40 both equivalent, and what’s the value of x?
Answer: 5
Step-by-step explanation:
1. 5x - 7 = 15
5x = 25
x = 5
2. 7x + 5 = 40
7x = 35
x = 5
for which would you draw a dashed boundary line a d shade to the left?
a) x⩽ -4
b) x ⩾ -4
c) x < -4
d) x > -4
Answer:
a) x⩽ -4
Step-by-step explanation:
This is because the required region is anything to the left of -4 that is x < -4. Now since x = -4 is inclusive, we have the inequality x ≤ -4.
We thus draw a dashed boundary line to represent the equality at the boundary for x ≤ -4.
Since that is done, we then shade to the left of the boundary line which is the required region of x ≤ -4.
help i really need it pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
Dan uses a coupon at CVS that saves him 20%. On his receipt, he sees that he saved $3. How much was his bill before he used the coupon
Answer:
$15
Step-by-step explanation:
100 divided by 20 = 5, so you do $3 times 5 and you get $15.
determine the value of K
Answer: 108
Step-by-step explanation: k= 180-72
Ok help me I will give you Brainly
Answer:
D
Step-by-step explanation:
Juan gathered up the sports balls after P.E. class one day. He put away 6 basketballs and 5 baseballs. What is the ratio of baseballs to basketballs?
Answer:
the ratio is baseballs 5:6 basketballs
Michael spent $18 at a local farmers’ market. Apples cost $2 each and peppers cost $3 each.
Select the equation that represents the scenario.
Answer:
18=2x+3y
Step-by-step explanation:
x is apples y is peppers
how to write following sums as a fraction?
(1) 2.52
(2)0.047
(3)5.876
Help would give points please
Answer:
The answer to the question is 4.
The table shows the estimated costs for each semester at the 4-year college Nola plans to attend.
Use this information to answer the questions below.
Answer:
Step-by-step explanation:
The estimated cost to attend this college for 1 semester is $9114
3974+400+3240+1500=9114
Nola would have to pay for 8 semesters if she attends for 4 years.
4x2=8
The estimated cost for Nola to attend this college for 4 years is $72912
9114x8=72912
Answer:
The answer is B
Step-by-step explanation:
sorry it is wrong
Need help now please
Answer:
2) 24 hours in a day
3) 1000
4) 3
5) 1000
6) 1000
Step-by-step explanation:
Step-by-step explanation:
2. 24
3. 1000
4. 3
5. 1000
6. 1000
}
17. A store is going out of business.c
! v's
Everything is marked down 40%, How
much do you pay now for an item that
used to cost $150?
Tooma
Answer:
the items new price is $60
Step-by-step explanation:
A) Translation: 1 unit left and 1 unit down
B) Translation: 1 unit right and 1 unit up
C) Translation: 3 unit right
D) Translation: 4 unit right and 1 unit up
On a certain hot summer's day, 340 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00. How many children and how many adults swam at the public pool that day?
Answer:
Number of children = x = 88
Number of Adults = y = 252
Step-by-step explanation:
Let us represent:
Number of children = x
Number of Adults = y
On a certain hot summer's day, 340 people used the public swimming pool.
Hence:
x + y = 340..... Equation 1
x = 340 - y
The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00.
$1.25 × x + $2.25 × y =$ 677
1.25x + 2.25y = 677..... Equation 2
Let us substitute: 340 - y for x in Equation 2
1.25(340 - y) + 2.25y = 677
= 425 - 1.25y + 2.25y = 677
Collect like terms
- 1.25y + 2.25y = 677 - 425
1y = 252
y = 252
Solving for x
x = 340 - y
x = 340 - 252
x = 88
Therefore the number of children and adults that swam at the public pool that day are: 88 children and 252 Adults.e
If James gets 2000$ every 2 weeks how much money will James get in a year?
Answer:
$52,000
Step-by-step explanation:
There are 52 weeks in a year.
52 / 2 =26
26 * $2000 = $52,000
Answer:
look at all these points im getting. oh wait but you do the same thing so I'll do it too:)))))
what is 6x+7y=4x+4y6x+7y=4x+4y
we have
6x+7y=4x+4y
we figure out that
the solution is ----> (x,-4)
substitute the value of y=-4 in the equation
6x+7*(-4)=4x+4*(-4)
6x-28=4x-16
Combine like terms
6x-4x=28-16
2x=12
x=12/2
x=6
So the the missing value is x=6.
Which polynomial function has x-intercepts –1, 0, and 2 and passes through the point (1, –6)?
Answer:
f(x) = 3x^3 - 3x^2 - 6x
Step-by-step explanation:
I think this is the answer- I did this a while ago.
Fast help please I need it
Answer:
D
Step-by-step explanation:
Since 2.7 is closer to 3 and shown in the graph.
