What is the solution for y^{''}+256y=7cos(5t) ?

The solution for y^{''}+256y=7cos(5t) is y=c_{1}cos(16t)+c_{2}sin(16t)+1/33 cos(5t)

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y^{''}+256y=7cos(5t)

y^{^{''}} + 256 y = 7 cos (5 t)

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{1}{33} cos (5 t)

Solution steps

y^{''} (t) + 256 y = 7 cos (5 t)

Solve linear ODE:

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{1}{33} cos (5 t)

y = c_{1} cos (16 t) + c_{2} sin (16 t) + \frac{1}{33} cos (5 t)

\frac{10}{s ^{2} + 25} + \frac{4}{s - 3}

\int \frac{x ^{2} - 25}{x} d x

\int 1064 - 0.005 x d x

x^{2} + 4 x

\frac{8}{( 2 s + 1 ) ^{3}}

What is the solution for y^{''}+256y=7cos(5t) ?
The solution for y^{''}+256y=7cos(5t) is y=c_{1}cos(16t)+c_{2}sin(16t)+1/33 cos(5t)