Question

find the general solution to

y''+4y'+4y=4x^2+6e^x

Answer #1

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Write down general solution of:
4x^2-2xy+2+(4y-x^2+2)y'=0
x>0, y>0

Use the elimination method to find a general solution for the
linear system: x'=3x-4y y'=4x-7y

sifferential equation. x(x+4y)y'=y(x-4y)
find general solution.

Solve for the general solution
x^4y''''+4x^3y'''+3x^2y''-xy'+y=0

Find the general solution for this ODE: y''+4y=e^x ?

solve the IVP
y'' - 4y' - 5y = 6e-x, y(0)= 1, y'(0) =
-2

find the general solution of the given differential
equation:
4y′′−4y′+y=16e^t/2

Find the general solution. Express the solution in vector
form.
x' = x + 2y
y' = 4x+3y
Find the general solution. Express the solution in scalar
form.
x' = −4x + 2y
y' = − 5/2 x + 2y

Find the general solution of the differential equation
10y' + 4y/x = 1/y^4

find the complete general solution
y''−4y'+4y = e2x−xe2x

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