y^{''''}-y=13t+cos(t)

Lösung

y^{^{''''}} - y = 13 t + cos (t)

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 13 t - \frac{t sin ( t )}{4}

Schritte zur Lösung

y^{(4)} (t) - y = 13 t + cos (t)

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 13 t - \frac{t sin ( t )}{4}

y = c_{1} e^{t} + c_{2} e^{- t} + c_{3} cos (t) + c_{4} sin (t) - 13 t - \frac{t sin ( t )}{4}

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

y^{^{''}} + 25 y = 3 csc^{2} (5 t)

\frac{d ^{2} y}{d x ^{2}} - y = x

y^{^{''}} - 3 y^{^{'}} + 2 y = 12

y^{^{''}} + 3 y^{^{'}} + 2 y = 4 x