y^{''}+2y^'-15y=5e^{2t}

Lösung

y^{^{''}} + 2 y^{^{'}} - 15 y = 5 e^{2 t}

y = c_{1} e^{3 t} + c_{2} e^{- 5 t} - \frac{5}{7} e^{2 t}

Schritte zur Lösung

y^{''} (t) + 2 y^{'} (t) - 15 y = 5 e^{2 t}

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{- 5 t} - \frac{5}{7} e^{2 t}

y = c_{1} e^{3 t} + c_{2} e^{- 5 t} - \frac{5}{7} e^{2 t}

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