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Beliebt Rechnen >

(dy}{dx}=\frac{2x^2)/y

Lösung

\frac{d y}{d x} = \frac{2 x ^{2}}{y}

Lösung

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

Schritte zur Lösung

\frac{d y}{d x} = \frac{2 x ^{2}}{y}

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

derivative of 2x^{2/3}

\frac{d}{d x} (2 x^{\frac{2}{3}})

derivative sqrt(2+3x)

d er i v a t i v e 2 + 3 x

derivative of-9sin(3x)

\frac{d}{d x} (- 9 sin (3 x))

derivative of 9x^9e^{x-1}

\frac{d}{d x} (9 x^{9} e^{x - 1})

integral of 5/(xln(3x))

\int \frac{5}{x ln ( 3 x )} d x