x^2(dy)/(dx)+xy-x=0

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

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

y^{5} \frac{d y}{d x} = 4 x^{2} y^{6} - 12 x^{2}

y^{^{'}} - 3 x y^{2} = 2 x

(y - x y) y^{^{'}} - y^{2} + 4 = 0

\frac{d y}{d x} + 6 x^{2} y = 9 x^{2}