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Beliebt Rechnen >

(d^2y)/(dx^2)-5(dy)/(dx)-14y=(x+1)e^x

Lösung

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 14 y = (x + 1) e^{x}

Lösung

y = c_{1} e^{7 x} + c_{2} e^{- 2 x} - \frac{e ^{x} x}{18} - \frac{5}{108} e^{x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 5 \frac{d y}{d x} - 14 y = (x + 1) e^{x}

Solve linear ODE:

y = c_{1} e^{7 x} + c_{2} e^{- 2 x} - \frac{e ^{x} x}{18} - \frac{5}{108} e^{x}

y = c_{1} e^{7 x} + c_{2} e^{- 2 x} - \frac{e ^{x} x}{18} - \frac{5}{108} e^{x}

Graph

Beliebte Beispiele

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