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Beliebt Rechnen >

(d^2y)/(dx^2)+8(dy)/(dx)+16y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} + 16 y = 0

Lösung

y = c_{1} e^{- 4 x} + c_{2} x e^{- 4 x}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} + 16 y = 0

Solve linear ODE:

y = c_{1} e^{- 4 x} + c_{2} x e^{- 4 x}

y = c_{1} e^{- 4 x} + c_{2} x e^{- 4 x}

Graph

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