What is the solution for y^{''}+36y=24sin(6t) ?

The solution for y^{''}+36y=24sin(6t) is y=c_{1}cos(6t)+c_{2}sin(6t)-2tcos(6t)

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y^{''}+36y=24sin(6t)

y^{^{''}} + 36 y = 24 sin (6 t)

y = c_{1} cos (6 t) + c_{2} sin (6 t) - 2 t cos (6 t)

Solution steps

y^{''} (t) + 36 y = 24 sin (6 t)

Solve linear ODE:

y = c_{1} cos (6 t) + c_{2} sin (6 t) - 2 t cos (6 t)

y = c_{1} cos (6 t) + c_{2} sin (6 t) - 2 t cos (6 t)

What is the solution for y^{''}+36y=24sin(6t) ?
The solution for y^{''}+36y=24sin(6t) is y=c_{1}cos(6t)+c_{2}sin(6t)-2tcos(6t)