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Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} e^{x} + c_{2} e^{- 2 x} - \frac{3}{10} sin (x) - \frac{1}{10} cos (x)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 2 x} - \frac{3}{10} sin (x) - \frac{1}{10} cos (x)

y = c_{1} e^{x} + c_{2} e^{- 2 x} - \frac{3}{10} sin (x) - \frac{1}{10} cos (x)

Graph

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