(dy)/(dx)=2xy^3

Lösung

\frac{d y}{d x} = 2 x y^{3}

y = - \frac{1}{2 ( x ^{2} + c _{1} )}, y = - - \frac{1}{2 ( x ^{2} + c _{1} )}

Schritte zur Lösung

\frac{d y}{d x} = 2 x y^{3}

Solve separable ODE:

y = - \frac{1}{2 ( x ^{2} + c _{1} )}, y = - - \frac{1}{2 ( x ^{2} + c _{1} )}

y = - \frac{1}{2 ( x ^{2} + c _{1} )}, y = - - \frac{1}{2 ( x ^{2} + c _{1} )}

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

9 t^{2} \frac{d x}{d t} + 8 x + 8 = 0

x^{^{'}} - c x = 0

y^{^{'}} + sin (t) y = - sin (t), y (0) = 9

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