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Beliebt Rechnen >

(x^2+4)(dy)/(dx)=2x-8xy

Lösung

(x^{2} + 4) \frac{d y}{d x} = 2 x - 8 x y

Lösung

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

Schritte zur Lösung

(x^{2} + 4) \frac{d y}{d x} = 2 x - 8 x y

Solve separable ODE:

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

Graph

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