(dy)/(dx)=-7/3 x^5y^6

Lösung

\frac{d y}{d x} = - \frac{7}{3} x^{5} y^{6}

y = - 5 \frac{18}{5 ( - 7 x ^{6} + c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} = - \frac{7}{3} x^{5} y^{6}

Solve separable ODE:

y = - 5 \frac{18}{5 ( - 7 x ^{6} + c _{1} )}

y = - 5 \frac{18}{5 ( - 7 x ^{6} + c _{1} )}

\frac{d y}{d x} = - k y

y^{^{'}} = - \frac{3 x + 3 x y ^{2}}{y x ^{2} + 2 y}

y^{2} d x + x^{2} d y = 0

\frac{d y}{d x} y = ln (ln (2 x))

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