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Beliebt Rechnen >

y^{''}+4y^'+5y=cos(2x)

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = cos (2 x)

Lösung

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{8}{65} sin (2 x) + \frac{1}{65} cos (2 x)

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 5 y = cos (2 x)

Solve linear ODE:

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{8}{65} sin (2 x) + \frac{1}{65} cos (2 x)

y = e^{- 2 x} (c_{1} cos (x) + c_{2} sin (x)) + \frac{8}{65} sin (2 x) + \frac{1}{65} cos (2 x)

Graph

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