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Popular >

y^{''}-y=2t-4

Solution

y^{^{''}} - y = 2 t - 4

Solution

y = c_{1} e^{t} + c_{2} e^{- t} - 2 t + 4

Solution steps

y^{''} (t) - y = 2 t - 4

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} - 2 t + 4

y = c_{1} e^{t} + c_{2} e^{- t} - 2 t + 4

Popular Examples

y^{'''}-2y^{''}-4y^'+8y=e^{-3x}+8x^2

y^{^{'''}} - 2 y^{^{''}} - 4 y^{^{'}} + 8 y = e^{- 3 x} + 8 x^{2}

1/6 y^{''}+6y=tan(6t)-1/3 e^{3t}

\frac{1}{6} y^{^{''}} + 6 y = tan (6 t) - \frac{1}{3} e^{3 t}

y^{''}+4y^'+5y=e^{-2x}sec(x)

y^{^{''}} + 4 y^{^{'}} + 5 y = e^{- 2 x} sec (x)

y^{''}-5y^'+4y=1

y^{^{''}} - 5 y^{^{'}} + 4 y = 1

y^{''}-8y^'-9y=-10e^{-x}-425cos(2x)

y^{^{''}} - 8 y^{^{'}} - 9 y = - 10 e^{- x} - 425 cos (2 x)

Frequently Asked Questions (FAQ)

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