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Beliebt Rechnen >

y^{''}-3y^'+2y=e^x+e^{2x}+e^{-x}

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{x} + e^{2 x} + e^{- x}

Lösung

y = c_{1} e^{2 x} + c_{2} e^{x} - e^{x} x + e^{2 x} x + \frac{1}{6} e^{- x}

Schritte zur Lösung

y^{''} (x) - 3 y^{'} (x) + 2 y = e^{x} + e^{2 x} + e^{- x}

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{x} - e^{x} x + e^{2 x} x + \frac{1}{6} e^{- x}

y = c_{1} e^{2 x} + c_{2} e^{x} - e^{x} x + e^{2 x} x + \frac{1}{6} e^{- x}

Graph

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