y^{''}+36y=11sec^2(6t)

Lösung

y^{^{''}} + 36 y = 11 sec^{2} (6 t)

y = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{- 11 + 11 ln ( tan ( 6 t ) + sec ( 6 t ) ) sin ( 6 t )}{36}

Schritte zur Lösung

y^{''} (t) + 36 y = 11 sec^{2} (6 t)

Solve linear ODE:

y = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{- 11 + 11 ln ( tan ( 6 t ) + sec ( 6 t ) ) sin ( 6 t )}{36}

y = c_{1} cos (6 t) + c_{2} sin (6 t) + \frac{- 11 + 11 ln ( tan ( 6 t ) + sec ( 6 t ) ) sin ( 6 t )}{36}

y^{^{''}} + 6 y^{^{'}} - 32 y = - 120 sin (4 t)

y^{^{''}} - y = - 2 cos (x)

y^{^{''}} + 2 y^{^{'}} - 15 y = 3 x

x^{^{''}} + 36 x = 5 sin (4 t)

4 y^{^{''}} - y = 2