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Beliebt Rechnen >

2(d^2y)/(dx^2)+11(dy)/(dx)-6y=8x

Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 11 \frac{d y}{d x} - 6 y = 8 x

Lösung

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 6 x} - \frac{4 x}{3} - \frac{22}{9}

Schritte zur Lösung

2 \frac{d ^{2} y}{d x ^{2}} + 11 \frac{d y}{d x} - 6 y = 8 x

Solve linear ODE:

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 6 x} - \frac{4 x}{3} - \frac{22}{9}

y = c_{1} e^{\frac{x}{2}} + c_{2} e^{- 6 x} - \frac{4 x}{3} - \frac{22}{9}

Graph

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