What is the solution for y^{''}-36y=e^{6x} ?

The solution for y^{''}-36y=e^{6x} is y=c_{1}e^{6x}+c_{2}e^{-6x}+(e^{6x}x)/(12)

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y^{''}-36y=e^{6x}

y^{^{''}} - 36 y = e^{6 x}

y = c_{1} e^{6 x} + c_{2} e^{- 6 x} + \frac{e ^{6 x} x}{12}

Solution steps

y^{''} (x) - 36 y = e^{6 x}

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} e^{- 6 x} + \frac{e ^{6 x} x}{12}

y = c_{1} e^{6 x} + c_{2} e^{- 6 x} + \frac{e ^{6 x} x}{12}

\frac{d}{d x} (tan (x^{2}) + tan^{2} (x))

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

- \frac{6}{x}

n = 0 \sum \infty \frac{( - 1 ) x ^{n}}{n}

\frac{\partial}{\partial v} (\frac{v}{2})

What is the solution for y^{''}-36y=e^{6x} ?
The solution for y^{''}-36y=e^{6x} is y=c_{1}e^{6x}+c_{2}e^{-6x}+(e^{6x}x)/(12)