y^{''}+36y=-60sec(6t)

解

y^{^{''}} + 36 y = - 60 sec (6 t)

y = c_{1} cos (6 t) + c_{2} sin (6 t) - \frac{5}{3} ln (cos (6 t)) cos (6 t) - 10 t sin (6 t)

解答ステップ

y^{''} (t) + 36 y = - 60 sec (6 t)

線形 ODE を解く:

y = c_{1} cos (6 t) + c_{2} sin (6 t) - \frac{5}{3} ln (cos (6 t)) cos (6 t) - 10 t sin (6 t)

y = c_{1} cos (6 t) + c_{2} sin (6 t) - \frac{5}{3} ln (cos (6 t)) cos (6 t) - 10 t sin (6 t)