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Beliebt Rechnen >

(dy)/(dx)=(y(2x^3-y^3))/(x(2x^3-3y^3))

Lösung

\frac{d y}{d x} = \frac{y ( 2 x ^{3} - y ^{3} )}{x ( 2 x ^{3} - 3 y ^{3} )}

Lösung

y = - 3 \frac{2}{3 W ( - \frac{2 c _{1} x ^{2}}{3} )} x

Schritte zur Lösung

\frac{d y}{d x} = \frac{y ( 2 x ^{3} - y ^{3} )}{x ( 2 x ^{3} - 3 y ^{3} )}

Solve using substitution:

y = - 3 \frac{2}{3 W ( - \frac{2 c _{1} x ^{2}}{3} )} x

y = - 3 \frac{2}{3 W ( - \frac{2 c _{1} x ^{2}}{3} )} x

Beliebte Beispiele

derivative of (2x/3)

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

integral of sqrt(1+((x^4-1)/(2x^2))^2)

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

integral of x^2arctan(2x^3)

\int x^{2} arctan (2 x^{3}) d x

integral of 1/(xsqrt(x^2+36))

\int \frac{1}{x x ^{2} + 36} d x

integral of 1/(uln(u))

\int \frac{1}{u ln ( u )} d u