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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{- t} + c_{2} e^{- 4 t} + \frac{3}{34} sin (t) - \frac{5}{34} cos (t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{- t} + c_{2} e^{- 4 t} + \frac{3}{34} sin (t) - \frac{5}{34} cos (t)

y = c_{1} e^{- t} + c_{2} e^{- 4 t} + \frac{3}{34} sin (t) - \frac{5}{34} cos (t)

Graph

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