What is the solution for y^{''}+256y=64cos(7t) ?

The solution for y^{''}+256y=64cos(7t) is y=c_{1}cos(16t)+c_{2}sin(16t)+64/207 cos(7t)

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y^{''}+256y=64cos(7t)

y^{^{''}} + 256 y = 64 cos (7 t)

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{64}{207} cos (7 t)

Solution steps

y^{''} (t) + 256 y = 64 cos (7 t)

Solve linear ODE:

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{64}{207} cos (7 t)

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{64}{207} cos (7 t)

\int_{0}^{π} sin^{2} (t) d t

\frac{d}{d x} (\frac{4}{x - 2})

\frac{d}{d x} (ln (3 + 2 x))

x \to 1 lim (x^{2} + 1)

\int 1 + x d x

What is the solution for y^{''}+256y=64cos(7t) ?
The solution for y^{''}+256y=64cos(7t) is y=c_{1}cos(16t)+c_{2}sin(16t)+64/207 cos(7t)