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

Lösung

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

y = - \frac{20}{- 3 x ^{8} + c _{1}}, y = - - \frac{20}{- 3 x ^{8} + c _{1}}

Schritte zur Lösung

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

Solve separable ODE:

y = - \frac{20}{- 3 x ^{8} + c _{1}}, y = - - \frac{20}{- 3 x ^{8} + c _{1}}

y = - \frac{20}{- 3 x ^{8} + c _{1}}, y = - - \frac{20}{- 3 x ^{8} + c _{1}}

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

\frac{d v}{d x} = - 0.4 v

(x^{2} + 1) \frac{d y}{d x} + 3 x (y - 1) = 0, y (0) = 5

(x^{3} + 1) y^{^{'}} = x^{2} y

y^{2} (x + 1) + 2 x y y^{^{'}} = 0