What is the solution for 4y^{''}+324y=8sin(9t) ?

The solution for 4y^{''}+324y=8sin(9t) is y=c_{1}cos(9t)+c_{2}sin(9t)-(tcos(9t))/9

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4y^{''}+324y=8sin(9t)

4 y^{^{''}} + 324 y = 8 sin (9 t)

y = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{t cos ( 9 t )}{9}

Solution steps

4 y^{''} (t) + 324 y = 8 sin (9 t)

Solve linear ODE:

y = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{t cos ( 9 t )}{9}

y = c_{1} cos (9 t) + c_{2} sin (9 t) - \frac{t cos ( 9 t )}{9}

What is the solution for 4y^{''}+324y=8sin(9t) ?
The solution for 4y^{''}+324y=8sin(9t) is y=c_{1}cos(9t)+c_{2}sin(9t)-(tcos(9t))/9