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Beliebt Rechnen >

y^{''}-8y^'+16y=t-2e^{4t}

Lösung

y^{^{''}} - 8 y^{^{'}} + 16 y = t - 2 e^{4 t}

Lösung

y = c_{1} e^{4 t} + c_{2} t e^{4 t} + \frac{t}{16} + \frac{1}{32} - e^{4 t} t^{2}

Schritte zur Lösung

y^{''} (t) - 8 y^{'} (t) + 16 y = t - 2 e^{4 t}

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} t e^{4 t} + \frac{t}{16} + \frac{1}{32} - e^{4 t} t^{2}

y = c_{1} e^{4 t} + c_{2} t e^{4 t} + \frac{t}{16} + \frac{1}{32} - e^{4 t} t^{2}

Graph

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