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Beliebt Rechnen >

y^{''}-2y^'-3y=3e^2t

Lösung

y^{^{''}} - 2 y^{^{'}} - 3 y = 3 e^{2} t

Lösung

y = c_{1} e^{3 t} + c_{2} e^{- t} - e^{2} t + \frac{2 e ^{2}}{3}

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) - 3 y = 3 e^{2} t

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- t} - e^{2} t + \frac{2 e ^{2}}{3}

y = c_{1} e^{3 t} + c_{2} e^{- t} - e^{2} t + \frac{2 e ^{2}}{3}

Graph

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