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Beliebt Rechnen >

2y^{''}+8y^'+80y=100cos(8t)

Lösung

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 100 cos (8 t)

Lösung

y = e^{- 2 t} (c_{1} cos (6 t) + c_{2} sin (6 t)) + sin (8 t) - \frac{3}{4} cos (8 t)

Schritte zur Lösung

2 y^{''} (t) + 8 y^{'} (t) + 80 y = 100 cos (8 t)

Solve linear ODE:

y = e^{- 2 t} (c_{1} cos (6 t) + c_{2} sin (6 t)) + sin (8 t) - \frac{3}{4} cos (8 t)

y = e^{- 2 t} (c_{1} cos (6 t) + c_{2} sin (6 t)) + sin (8 t) - \frac{3}{4} cos (8 t)

Graph

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