What is the solution for y^{''}+121y=cos(8t) ?

The solution for y^{''}+121y=cos(8t) is y=c_{1}cos(11t)+c_{2}sin(11t)+1/57 cos(8t)

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y^{''}+121y=cos(8t)

y^{^{''}} + 121 y = cos (8 t)

y = c_{1} cos (11 t) + c_{2} sin (11 t) + \frac{1}{57} cos (8 t)

Solution steps

y^{''} (t) + 121 y = cos (8 t)

Solve linear ODE:

y = c_{1} cos (11 t) + c_{2} sin (11 t) + \frac{1}{57} cos (8 t)

y = c_{1} cos (11 t) + c_{2} sin (11 t) + \frac{1}{57} cos (8 t)

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What is the solution for y^{''}+121y=cos(8t) ?
The solution for y^{''}+121y=cos(8t) is y=c_{1}cos(11t)+c_{2}sin(11t)+1/57 cos(8t)