(y-xy^')/(y^2)+(xy^'-y)/(x^2)=0

Lösung

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

y = c_{1} x

Schritte zur Lösung

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

Solve separable ODE:

y = c_{1} x

y = c_{1} x

- 2 x - 9 y^{2} \frac{d y}{d x} = 0

y^{^{'}} - 2 y = - 5

y^{3} \cdot \frac{d y}{y ^{4}} = 4 x^{2} - 8 x^{2} d x

\frac{y ^{^{'}}}{x} + 2 y = 4

\frac{d x}{d y} + 3 x = 25