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Beliebt Rechnen >

(dy)/(dx)=(x^3sqrt(x^4-1))/(y^3)

Lösung

\frac{d y}{d x} = \frac{x ^{3} x ^{4} - 1}{y ^{3}}

Lösung

y = 4 \frac{2}{3} (x^{4} - 1)^{\frac{3}{2}} + c_{1}, y = - 4 \frac{2}{3} (x^{4} - 1)^{\frac{3}{2}} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{x ^{3} x ^{4} - 1}{y ^{3}}

Solve separable ODE:

y = 4 \frac{2}{3} (x^{4} - 1)^{\frac{3}{2}} + c_{1}, y = - 4 \frac{2}{3} (x^{4} - 1)^{\frac{3}{2}} + c_{1}

y = 4 \frac{2}{3} (x^{4} - 1)^{\frac{3}{2}} + c_{1}, y = - 4 \frac{2}{3} (x^{4} - 1)^{\frac{3}{2}} + c_{1}

Graph

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