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Beliebt Rechnen >

y^{''}+4y^'=t^2+3e^t

Lösung

y^{^{''}} + 4 y^{^{'}} = t^{2} + 3 e^{t}

Lösung

y = c_{1} + c_{2} e^{- 4 t} + \frac{t ^{3}}{12} - \frac{t ^{2}}{16} + \frac{t}{32} + \frac{3}{5} e^{t}

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) = t^{2} + 3 e^{t}

Solve linear ODE:

y = c_{1} + c_{2} e^{- 4 t} + \frac{t ^{3}}{12} - \frac{t ^{2}}{16} + \frac{t}{32} + \frac{3}{5} e^{t}

y = c_{1} + c_{2} e^{- 4 t} + \frac{t ^{3}}{12} - \frac{t ^{2}}{16} + \frac{t}{32} + \frac{3}{5} e^{t}

Graph

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