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Beliebt Rechnen >

(dy)/(dx)= x/(ysqrt(1+x))

Lösung

\frac{d y}{d x} = \frac{x}{y 1 + x}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{x}{y 1 + x}

Solve separable ODE:

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

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

Graph

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