What is the solution for y^{''}-16y=2e^{2x} ?

The solution for y^{''}-16y=2e^{2x} is y=c_{1}e^{4x}+c_{2}e^{-4x}-1/6 e^{2x}

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y^{''}-16y=2e^{2x}

y^{^{''}} - 16 y = 2 e^{2 x}

y = c_{1} e^{4 x} + c_{2} e^{- 4 x} - \frac{1}{6} e^{2 x}

Solution steps

y^{''} (x) - 16 y = 2 e^{2 x}

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- 4 x} - \frac{1}{6} e^{2 x}

y = c_{1} e^{4 x} + c_{2} e^{- 4 x} - \frac{1}{6} e^{2 x}

What is the solution for y^{''}-16y=2e^{2x} ?
The solution for y^{''}-16y=2e^{2x} is y=c_{1}e^{4x}+c_{2}e^{-4x}-1/6 e^{2x}