y^{'''}+121y^'=tan(11x)

Lösung

y^{^{'''}} + 121 y^{^{'}} = tan (11 x)

y = c_{1} + c_{2} cos (11 x) + c_{3} sin (11 x) + \frac{- ln ( cos ( 11 x ) ) + cos ^{2} ( 11 x ) - sin ( 11 x ) ( ln ( tan ( 11 x ) + sec ( 11 x ) ) - sin ( 11 x ) )}{1331}

Schritte zur Lösung

y^{'''} (x) + 121 y^{'} (x) = tan (11 x)

Solve linear ODE:

y = c_{1} + c_{2} cos (11 x) + c_{3} sin (11 x) + \frac{- ln ( cos ( 11 x ) ) + cos ^{2} ( 11 x ) - sin ( 11 x ) ( ln ( tan ( 11 x ) + sec ( 11 x ) ) - sin ( 11 x ) )}{1331}

y = c_{1} + c_{2} cos (11 x) + c_{3} sin (11 x) + \frac{- ln ( cos ( 11 x ) ) + cos ^{2} ( 11 x ) - sin ( 11 x ) ( ln ( tan ( 11 x ) + sec ( 11 x ) ) - sin ( 11 x ) )}{1331}

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 x e^{2 x} + 4 x - 5

y^{^{''}} - y^{^{'}} - 2 y = sin (3 t)

y^{^{''}} + 6 y = 4 t^{2} - 3, y (0) = 0, y^{^{'}} (0) = - 7

y^{^{''}} + 10 y^{^{'}} + 16 y = 2581 cos (5 x)

y^{^{''}} - 3 y^{^{'}} + 2 y = \frac{e ^{x}}{1 + e ^{x}}