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Beliebt Rechnen >

x^'+4x=te^{-4t}

Lösung

x^{^{'}} + 4 x = t e^{- 4 t}

Lösung

x = \frac{t ^{2}}{2 e ^{4 t}} + \frac{c _{1}}{e ^{4 t}}

Schritte zur Lösung

x^{'} (t) + 4 x = t e^{- 4 t}

Solve linear ODE:

x = \frac{t ^{2}}{2 e ^{4 t}} + \frac{c _{1}}{e ^{4 t}}

x = \frac{t ^{2}}{2 e ^{4 t}} + \frac{c _{1}}{e ^{4 t}}

Graph

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