Solve the following initial value problem. y(3) -2y"+y' = 6+7xe*: y(0) = y'(0) = 0. y''(0) = 1 The solution is y(x) = ***

Q: 8y'' + 4y' +y = 0 solve for y(0) = 0; y'(0)=1

A: Given differential equation is:8y"+4y'+y=0

Q: Solve for y(x):  y’’ – 5y’ + 12y = 0; y(2) = 0; y’(2) = -4

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Q: Solve: y' + 7y +9y' +9y=0 y(x)

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Q: (x*y-2xy*)dx=(x² - 3x'y)dy Solve the differential equation.

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Q: 5. Solve 2y" - 3y' - 2y = 0; y(0) = 1, y'(0) = -1.

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Q: Solve the following IVP. y"'-5y"-22+56=0 y(0)=1 y'(0)=-2 y''(0

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Q: y'=(2x+2y+1)/(x+y-1)  Solve the equation.?

A: Consider the given equation. y'=2x+2y+1x+y-1 Put v=x+y in the above function. dvdx=1+dydx

Q: (b) Solve the general solution y' + 2y = x³e–2x AP [4] i. 1-3x2 y' Lx(1-x²). ii. y = 1-x²

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