2a. Find the general solution of each differential equation. dy 8 sin(x) + 12e-3x dx y2 2b. dx -9x=4e-2t dt

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

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Q: Solve the following differential equation Integrating Factor by Inspection: 1. (2y-3x)dx+xdy=0

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Q: 2x dy 2х. -y = x² - x; y(4) =2 dx

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Q: QI- Finid the soluion of the following differential equation d?y dy +2 +y 0 dx2 dx. 4x-

A: Given: 4xd2ydx2+2dydx+y=0

Q: dy Solve the differential equation. X dx = y + x³ + 3x² -2 x

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Q: Solve for the solution of homogenous differential equation dy da a²+y? 3ry

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Q: 3. Solve the differential equation of the given solution. y = x² + C1e2x + C2e3x

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Q: Solve the differential equation A. y = x² +cos3x + C B. y = x² + cos 3x + C dy dx = 2x + sin 3x. C.…

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Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y +1)dy = 0

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Q: Solve the following Differential Equation

A: Given the differential equation              (3x+4y-7)dx+(9x+12y+1)dy=0.

Q: dy 2xy dx 1+x² =

A: Sol:- dydx=2xy1+x2A first order separable ODE has the form of Ny·y'=MxSubstitute dydx with y' y'…

Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y + 1)dy = 0

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Q: dy Solve the differential equation x2 + xy + 2 = 0. dx

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Q: dy dx + 2y = x³e-2x

A: The given differential equation is: dydx+2y=x3e-2x

Q: 1 (ysin x + y?) dх — + cosx – 2xy) dy = 0 - \y²+1

A: Consider a differential equation of the form Mx,ydx+Nx,ydy=0. If ∂M∂y=∂N∂x, then the differential…

Q: 3. Solve the following differential equation: d³y + 9 dx? + 13y = 0 - dx3 dx

A: The given differential equation is homogeneous linear differential equation with constant…

Q: dy 4x+xy² dx y-x²y =

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