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Beliebt Rechnen >

y^{''}+2y^'+2y=sin(7x)

Lösung

y^{^{''}} + 2 y^{^{'}} + 2 y = sin (7 x)

Lösung

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) - \frac{47}{2405} sin (7 x) - \frac{14}{2405} cos (7 x)

Schritte zur Lösung

y^{''} (x) + 2 y^{'} (x) + 2 y = sin (7 x)

Solve linear ODE:

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) - \frac{47}{2405} sin (7 x) - \frac{14}{2405} cos (7 x)

y = e^{- x} (c_{1} cos (x) + c_{2} sin (x)) - \frac{47}{2405} sin (7 x) - \frac{14}{2405} cos (7 x)

Graph

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