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Beliebt Rechnen >

y^{''}-10y^'+25y=t^{-8}e^{5t}

Lösung

y^{^{''}} - 10 y^{^{'}} + 25 y = t^{- 8} e^{5 t}

Lösung

y = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{e ^{5 t}}{42 t ^{6}}

Schritte zur Lösung

y^{''} (t) - 10 y^{'} (t) + 25 y = t^{- 8} e^{5 t}

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{e ^{5 t}}{42 t ^{6}}

y = c_{1} e^{5 t} + c_{2} t e^{5 t} + \frac{e ^{5 t}}{42 t ^{6}}

Graph

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