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Popular >

y^{''}-4y=12

Solution

y^{^{''}} - 4 y = 12

Solution

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 3

Solution steps

y^{''} (t) - 4 y = 12

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 3

y = c_{1} e^{2 t} + c_{2} e^{- 2 t} - 3

Popular Examples

y^{''}+y=2sin(x)

y^{^{''}} + y = 2 sin (x)

y^{''}-4y^'+3y=e^t+t^2

y^{^{''}} - 4 y^{^{'}} + 3 y = e^{t} + t^{2}

y^{''}+y^'-2y=4,y(0)=2,y^'(0)=1

y^{^{''}} + y^{^{'}} - 2 y = 4, y (0) = 2, y^{^{'}} (0) = 1

y^{''}+2y^'+y=x^2+2

y^{^{''}} + 2 y^{^{'}} + y = x^{2} + 2

y^{''}+y=sin(3t)

y^{^{''}} + y = sin (3 t)

Frequently Asked Questions (FAQ)

What is the solution for y^{''}-4y=12 ?
The solution for y^{''}-4y=12 is y=c_{1}e^{2t}+c_{2}e^{-2t}-3