(dy)/(dx)=3x^2y^2,y\ne 0

Lösung

\frac{d y}{d x} = 3 x^{2} y^{2}, y \neq = 0

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

y^{^{'}} + 12 x cos (x) e^{y} = 0

e^{y} y^{^{'}} = 7 x^{2}

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

y^{^{'}} - \frac{x sin ( x )}{3 y ^{2}} = 0

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