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Beliebt Rechnen >

(d^2y)/(dt^2)+3(dy)/(dt)-40y=1-4t

Lösung

\frac{d ^{2} y}{d t ^{2}} + 3 \frac{d y}{d t} - 40 y = 1 - 4 t

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- 8 t} + \frac{t}{10} - \frac{7}{400}

Schritte zur Lösung

\frac{d ^{2} y}{d t ^{2}} + 3 \frac{d y}{d t} - 40 y = 1 - 4 t

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- 8 t} + \frac{t}{10} - \frac{7}{400}

y = c_{1} e^{5 t} + c_{2} e^{- 8 t} + \frac{t}{10} - \frac{7}{400}

Graph

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