Solve the given differential equation by separation of variables. dy e -7x - y + e dx

Q: dy 2x + (4x + y – 6) = y dx

A: The solution is given below in the next step:

Q: solve the given differential equation. y − xdy/dx = 3 − 2x2 dy/dx

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Q: Solve the given differential equation. dx/dy = -( (4y^2+10xy)/(5y^2+2x) )

A: Given DE is dxdy=-4y2+10xy5y2+2x. Solve the DE as follows.

Q: Solve the given differential equation by undetermined coefficients. y" - y' +y = 5 + e/2 4 (x) = %3!

A: The solution of a differential equation is defined as the function that satisfies the differential…

Q: Solve the given differential equation 3. d²y dy dy = x² dx² dx dx

A: Given the differential equation :

Q: dy +3y = 3x²e-3x dx

A: It ia Linear differential equation.

Q: Solve the given differential equation by separation of variables. dy ху + 5х — у - 5 dx ху — 2х + бу…

A: The solution of the provided differential equation by separation of variables is given by,

Q: Solve the given differential equation: (x - 3) dx + 2 (x + y + 2) dy = 0

A: As per our guidelines I am solving only first question please resubmit other question.  The given…

Q: Solve the given differential equation. y'+2x*y=6y°x*

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Q: dy x3 dx 2+y²

A: Let's solve given diffrential equation.

Q: solve the given differential equation 6. dy/dx=x^2(1+y^2)

A:

Q: solve the given differential equation 3. y′ = cos2(x) cos2(2y)

A: Solution -  Given function -  y'=cos2(x)cos2(2y)or,dydx=cos2(x) cos2(2y) Segregating the y and x…

Q: Solve the linear differential equation 2y dy + d.x 4x

A: Given equation is non homogeneous first order linear ordinary differential equation.

Q: Solve the given differential equation. dx 4y² + 6xy dy 3y² + 2x

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Q: Solve the given differential equation by separation of variables. dy = e5x + 4y dx -4e5x 5 + C X

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Q: Solve the given differential equation. 25x?y" + 25xy' + y = 0 y(x) = ,x > 0 %3D

A: We have to find solution of given differential equation.

Q: Solve the given differential equation. x?y" - 12y = 0 +V7 Y(x) =

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Q: Solve the given differential equation d' y dy x2 -+ 2x – 12y= x² (ln x) dx² dx

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Q: solve the given differential equation. dy/dx = 2x(y − 1)/(x2 + 3)

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Q: dy Solve the given differential equation by separation of variables: x- = 4y dæ y = ÷a³ +c Oy = || =…

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Q: Solve the differential equation. dy 9x?y2 dx

A: dydx=9x2y2 Formula ∫xndx=xn+1n+1+C

Q: Solve the given differential equation (D +2)y=e*cosx+x²e*

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Q: (x³ + y² √x² + y²)dx - xy√x² + y² dy=0

A: I am attaching image so that you understand each and every step.

Q: Solve the given differential equation. 1. (y? + 1)dx – ysec?x dy = 0

A: The given differential equation is,  y2+1dx-ysec2xdy=0

Q: Solve the given differential equation. (x² + 9) dy = (2x − 8xy) dx

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Q: a- Solve the differential equation ( D. E.) by using the undetermined coefficients d?y dx2 dy dx +9y…

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Q: dx y- + 6x = 3yx3 dy

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Q: Solve the given differential equation by separation of variables. dx + exdy = 0 y = 14e - 4x + C X

A: We can solve the given differential equation by using the variable separable method

Q: Solve the given differential equation (4x + y- 1) da + (x - y- 4) dy = 0

A: To solve the differential equation.

Q: Solve the linear differential equation 2y dy + d.x = 4x

A: We have to find

Q: Solve the first order differential equations dy – yln(yecosx)dx = ysindx

A:

Q: (x*y- xy")(xdy + ydx) + dy = 2xdx

A: To solve the differential equation we use some special form

Q: What type of differential equation is shown? Solve the equation and find y(x). 8y = e-2* – 10y' –…

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Q: Solve the given differential equation. dy 2xy = 4x +3y² dx

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Q: х— у+5 y' = x+y-1

A: Given differential equation is, dydx=x-y+5x+y-1 Substitute , y=Y+k, x=X+h we get,…

Q: Solve the given differential equation. xy' +6y = 3xy3

A:

Q: Solve the given differential equation (2x-y +2)dx + (6x -3y +1)dy = 0

A: Given:                              (2x-y +2)dx + (6x -3y +1)dy = 0   Solution:…

Q: Solve the given differential equation. (y² + 5) dx = y sec²(x) dy

A: For the given differential Equation (y2+5)dx=ysec2(x)dy is  y=cex+cosxsinx-5 , y=-cex+cosxsinx-5

Q: Solve the given differential equation. (x² + 2y)dx – xdy = 0 4 O 2y = x* + cx² - 2 O 2y = x* + cx

A:

Q: Solve the given differential equation.  dy/dx=x5y2

A: Given : dydx = x5y2

Q: dy —%3 ху — 4х dx

A: Use variable separable method.

Q: solve the given differential equation. . dy/dx = y2 / (x2 + 1)

A: dy/dx = y2 / (x2 + 1) here clearly we can apply variable separable method. So first We separate. dy/…

Q: Which is the general solution to the differential equation shown below?  (d^2y/dx^2)-3(dy/dx)+2y=0

A: ANSWER:

Q: Solve the differential equation of the following equation. 1. (y-xy) dx + xdy = 0

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Q: (c) Solve the given differential equation dy 2(y-3) dx

A: Given differential equation,xdydx=2y-3dyy-3=2dxxintegrating both the sides…

Q: c) Solve the differential equation ydx = (ye" - 2x)dy.

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Q: dy 1. 2xy + 4x² dx

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Q: (6) 2. y'+xy = 6x/ỹ

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Q: (rcsc - y) dr + ady = 0 =D0

A: We will solve the problem