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Beliebt Rechnen >

5y^'-y=e^{-t}+3t

Lösung

5 y^{^{'}} - y = e^{- t} + 3 t

Lösung

y = - \frac{1}{6 e ^{t}} - 3 (t + 5) + c_{1} e^{\frac{t}{5}}

Schritte zur Lösung

5 y^{'} (t) - y = e^{- t} + 3 t

Solve linear ODE:

y = - \frac{1}{6 e ^{t}} - 3 (t + 5) + c_{1} e^{\frac{t}{5}}

y = - \frac{1}{6 e ^{t}} - 3 (t + 5) + c_{1} e^{\frac{t}{5}}

Graph

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