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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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

y^{\frac{5}{2}} \frac{d y}{d x} - y^{2} = - y^{\frac{7}{2}}

P^{^{'}} = k P (t)

x y^{^{'}} y + 4 = 0

y^{^{'}} = \frac{cos ( x )}{sin ( 2 y )}