Solve the given differential equation by separation of variables. dy = e5x dx + 6y

Q: solve the given differential equation. 29.y″ + 2y′ + y = 2e−t

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Q: dy 2x + (4x + y – 6) = y dx

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

Q: 2.5 (x-9)dx +xdy=0 2.

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

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Q: Solve the given differential equation. (6x + 1)y² 2 dy + 3x2 + 3x² 2y³ = 0

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Q: Solve the given differential equation by undetermined coefficients. y" - y' - 30y = e6x y(x) =

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Q: y? dx + (x + 3ay + 4y) dy = 0

A: It is a homogeneous differential equation. Find dxdyand Substitute x=vy.

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

A: given differential equation: (4x + y - 1)dx + (x - y - 4)dy = 0

Q: x²ydx – (x3 + y³)dy = 0

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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 7. dy /dx = y/ x

A: We have to solve the differential equation: dydx=yx Solving this equation by variable separable…

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)

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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. dy/dx = 2x y

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

A: Gievn equation -  (3x+2y) dx + (2x+y) dy =0

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

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Q: Solve the given differential equation (x* + y*)dx = xy³dy.

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Q: Solve the differential equation   dy/dx=2 /( x² +4)

A: Given, dydx=2(x2+4)

Q: (3x + 2y)dx + (2x + y)dy = 0. %3D

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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 differential equation. dy = e5x - 5y dx

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

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Q: Solve the given differential equation by separation of variables. (ey+1)2e-ydx+(ex+1)6e-xdy=0

A: Rearranging the given equation:

Q: 27. dx = 2 + Vy – 2x + 3

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Q: Solve the given differential equation (D² + 2)y =e*cos x + x²e*

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Q: = 3y? – y²sinx dx

A: Given that: dydx=3y2-y2sinx

Q: c. y' = ; с. x+xy

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

A: We have to find

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. 1. y′=x2y

A: we have been given the differential equation  y'=x2ydydx=x2y             (as y'=dydx) using the…

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.  dy/dx=x5y2

A: Given : dydx = x5y2

Q: Solve the given differential equation by separation of variables: = 5y dz Oy = cr5 ) y = ¿xª +c Oy =…

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

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Q: (6) 2. y'+xy = 6x/ỹ

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

A: We have to solve the given differential equation.

Q: x²y" – 2y = 0

A: