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Beliebt Rechnen >

y^{''}-12y^'+36y=2te^{6t}

Lösung

y^{^{''}} - 12 y^{^{'}} + 36 y = 2 t e^{6 t}

Lösung

y = c_{1} e^{6 t} + c_{2} t e^{6 t} + \frac{e ^{6 t} t ^{3}}{3}

Schritte zur Lösung

y^{''} (t) - 12 y^{'} (t) + 36 y = 2 t e^{6 t}

Solve linear ODE:

y = c_{1} e^{6 t} + c_{2} t e^{6 t} + \frac{e ^{6 t} t ^{3}}{3}

y = c_{1} e^{6 t} + c_{2} t e^{6 t} + \frac{e ^{6 t} t ^{3}}{3}

Graph

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