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Beliebt Rechnen >

y^{''}+12y^'+24y=4381e^{2t}cos(13t)

Lösung

y^{^{''}} + 12 y^{^{'}} + 24 y = 4381 e^{2 t} cos (13 t)

Lösung

y = c_{1} e^{2 (3 - 3) t} + c_{2} e^{- 2 (3 + 3) t} + 16 e^{2 t} sin (13 t) - 9 e^{2 t} cos (13 t)

Schritte zur Lösung

y^{''} (t) + 12 y^{'} (t) + 24 y = 4381 e^{2 t} cos (13 t)

Solve linear ODE:

y = c_{1} e^{2 (3 - 3) t} + c_{2} e^{- 2 (3 + 3) t} + 16 e^{2 t} sin (13 t) - 9 e^{2 t} cos (13 t)

y = c_{1} e^{2 (3 - 3) t} + c_{2} e^{- 2 (3 + 3) t} + 16 e^{2 t} sin (13 t) - 9 e^{2 t} cos (13 t)

Graph

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