2xydx + (y2 + x²)dy = 0

Q: 3 (3x? — 6ху) dx — (3x? + 2у) dy 3D0 -

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Q: Solve for solution to differential equation. e^(x+y) (dy/dx) = e^(2x-y)

A: To solve the differential equation given by; ex+y·dydx=e2x-y Bring all the terms with x as exponents…

Q: Solve the differential equation. y′ = x3 — 2xy ;  when x = 1; y = 2

A: Given differential equation is: dydx+2xy=x3;  y(1)=2 P=2x; Q=x3 Given differential equation is first…

Q: Solve the differential equation f -e = 2ey by separation of variables.

A: In this question, concept of separation of variables is used. Seperation of Variables The approach…

Q: differential

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Q: Find the general solution of the differential equation. (Enter your solution as an equation.) y2y' =…

A: Given To find out the general solution , replace y’ by dy/dx Then use integration and solve for y

Q: Solve for differential Equation y^2dx+x^2dy=0

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Q: (x+2)? dy 2y dx x -4 x² -4

A: dydx+2yx2-4=x+22x2-4⇒dydx+2yx2-4=x+2x-2⇒y=∫x+2x-2dxx+2x-2x-2

Q: Solve the differential equation by variation of parameters. y" + y = sin(x) y(x) =

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Q: Solve the differential equation. xy' + y = 4Vx

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Q: Solve for differential equation (3x2-2y2)y1=2xy

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Q: solve xdx+ydy=a^2(xdy-ydx)/(x^2+y^2) using exact Differential Equation

A: Given equation is x dx+y dy=a2x dx-y dyx2+y2.

Q: Solve by applying "Differential Equation using Substitution Suggested by the Equation" (2x + y)dx–…

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Q: Solve the differential equation:+ y = e-* sin x 2

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Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

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Q: (y3-y2sinx-x)dx + (3xy2+2ycosx)dy = 0 solve using exact differential equation

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Q: Solve the differential equation y" + 5y = -sec 5 x

A: See the details solution in below

Q: Determine the solution to the differential equation given by: y'=6y2/x

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Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: y' = (x+y– 2)² (х-у)?

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: form the differential equation corresponding to (y-b)2=4(x-a)

A: (y-b)2 = 4(x-a)

Q: (x -y2) dx + 2x y dy ニ

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Q: 2ydx = (x2 – 1)(dx – dy)

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Q: Solve differential equation  (3xy+y2)dx +(x2+xy)dy=0

A: Topic-differential equation

Q: Solve the differential equation by variation of parameters. y" + y = sin2(x) y(x) =

A: The given differential equation is: y''+y=sin2x

Q: solve differential equation y´+2y=4x y(0)=0

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Q: Solve the differential equation y" – 2y' + y = ° *| *

A: solve the differential equationy11-2y1+y=exx .....(i)

Q: хду + (у+ 3x)dx — 0; when x %3D1, у%3D3

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Q: Solve the differential equation. y' = 4x – y %3D

A: Let v=4x-y Differentiating both sides we get: ddx(v)=ddx(4x-y)v'=4-y'y'=4-v'

Q: 2ydx+x(x² In y-1)dy=0

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Q: Solve the differential equation: xy'-2x2y= y ln y

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Q: Find the solution of differential equation 4 dx2 +y = sin).

A: The given differential equation is 4d2ydx2+y=sinx2. Find the solution of the differential equation…

Q: Solve the Differential Equation using VARIATION OF PARAMETERS: y''-2y'+1=(x+1)e2x

A: The given differential equation is: y''-2y'+y=(x+1)e2x

Q: (D² − 4)y = 8e²x – 12 -

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Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) =

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Q: Solve for solution to differential equation. (2x-y) dx +(4x+y-6)dy =0

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Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

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Q: (2x-3y)dx+(2y-3x)dy3D0

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Q: Solve using non-exact linear differential equation ye^(-2y) dx - (xye^(-2y) + y) dy = 0

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Q: Solve the differential equation. y' + 3xe" = 0

A: The given differential equation is: y'+3xey=0 To solve the differential equation.

Q: Solve the differential equation by variation of parameters 16x у" - 16у y(x) =

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Q: Solve the differential equation by an appropriate method. y''+2y'=x^2+4e^2x

A: Given linear differential equations with constant coefficients. We have find General solution for…

Q: dy_ y²sec² (-) tan (-) dx x2

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Q: Use a substitution to solve the nonlinear differential equation: (y + 1)y" = (y ')²

A: Let y' = t Then , y''=dtdy  to find the value of y, integrate y' =t⇒∫dy =∫t. dt⇒      y =t22  So the…

Q: solve the differential equation using the substitution method. (3siny-5x)dx+2x2cotydy=0

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Q: SOLVE USING HOMOGENEOUS DIFFERENTIAL EQUATION (2x-3y)dx +(2y-3x)dy = 0

A: The given differential equation is:2x-3ydx+2y-3xdy=0which can be written as dydx=3y-2x2y-3x

Q: solve the differential equation xy' - y = 2x ln x

A: Given: xy'-y=2xlnx For finding solution of given differential equation, we convert it in first order…

Q: Solve the differential equation by an appropriate method. d³y, dy dx3 tanx dx

A: Find the complementary function and particular Integral of the given equation. Its general solution…