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Beliebt Rechnen >

(x^2+1)(dy)/(dx)+8x(y-1)=0

Lösung

(x^{2} + 1) \frac{d y}{d x} + 8 x (y - 1) = 0

Lösung

y = \frac{c _{1}}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1} + 1

Schritte zur Lösung

(x^{2} + 1) \frac{d y}{d x} + 8 x (y - 1) = 0

Solve separable ODE:

y = \frac{c _{1}}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1} + 1

y = \frac{c _{1}}{x ^{8} + 4 x ^{6} + 6 x ^{4} + 4 x ^{2} + 1} + 1

Graph

Beliebte Beispiele

integral of (40x^2)/(x^4-52x^2+576)

\int \frac{40 x ^{2}}{x ^{4} - 52 x ^{2} + 576} d x

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s l o p e (2, 3), (- 2, - 3)

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\frac{d}{d x} (\frac{4}{2 x + 1})

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\frac{d}{d x} (lo g_{10} (\frac{x}{x ^{2} + 1}))