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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

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