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Beliebt Rechnen >

(dy)/(dx)=-((x-8))/(64y-320)

Lösung

\frac{d y}{d x} = - \frac{( x - 8 )}{64 y - 320}

Lösung

y = \frac{40 + - x ^{2} + 16 x + c _{1} + 1600}{8}, y = \frac{40 - - x ^{2} + 16 x + c _{1} + 1600}{8}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{( x - 8 )}{64 y - 320}

Solve separable ODE:

y = \frac{40 + - x ^{2} + 16 x + c _{1} + 1600}{8}, y = \frac{40 - - x ^{2} + 16 x + c _{1} + 1600}{8}

y = \frac{40 + - x ^{2} + 16 x + c _{1} + 1600}{8}, y = \frac{40 - - x ^{2} + 16 x + c _{1} + 1600}{8}

Graph

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