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Beliebt Rechnen >

y^{''}+6y^'+8y=130cos(3t)

Lösung

y^{^{''}} + 6 y^{^{'}} + 8 y = 130 cos (3 t)

Lösung

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + \frac{36}{5} sin (3 t) - \frac{2}{5} cos (3 t)

Schritte zur Lösung

y^{''} (t) + 6 y^{'} (t) + 8 y = 130 cos (3 t)

Solve linear ODE:

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + \frac{36}{5} sin (3 t) - \frac{2}{5} cos (3 t)

y = c_{1} e^{- 2 t} + c_{2} e^{- 4 t} + \frac{36}{5} sin (3 t) - \frac{2}{5} cos (3 t)

Graph

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