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Beliebt Rechnen >

(d^2y)/(dx^2)+2(dy)/(dx)-3y=2x-17

Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 2 x - 17

Lösung

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{2 x}{3} + \frac{47}{9}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} - 3 y = 2 x - 17

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{2 x}{3} + \frac{47}{9}

y = c_{1} e^{x} + c_{2} e^{- 3 x} - \frac{2 x}{3} + \frac{47}{9}

Graph

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