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Beliebt Rechnen >

y^'+5y=xe^{-5x}

Lösung

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

Lösung

y = \frac{x ^{2}}{2 e ^{5 x}} + \frac{c _{1}}{e ^{5 x}}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{x ^{2}}{2 e ^{5 x}} + \frac{c _{1}}{e ^{5 x}}

y = \frac{x ^{2}}{2 e ^{5 x}} + \frac{c _{1}}{e ^{5 x}}

Graph

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