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Beliebt Rechnen >

y^{''}+4y^'+5y=-5x+3e^{-x}

Lösung

y^{^{''}} + 4 y^{^{'}} + 5 y = - 5 x + 3 e^{- x}

Lösung

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

Schritte zur Lösung

y^{''} (x) + 4 y^{'} (x) + 5 y = - 5 x + 3 e^{- x}

Solve linear ODE:

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

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

Graph

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y^{^{'}} = y^{\frac{1}{3}}