xdx-ydy=xy(xdy-ydx)

Lösung

x d x - y d y = x y (x d y - y d x)

y = e^{2 c_{1}} x^{2} + e^{2 c_{1}} - 1, y = - e^{2 c_{1}} x^{2} + e^{2 c_{1}} - 1

Schritte zur Lösung

x d x - y d y = x y (x d y - y d x)

Solve separable ODE:

y = e^{2 c_{1}} x^{2} + e^{2 c_{1}} - 1, y = - e^{2 c_{1}} x^{2} + e^{2 c_{1}} - 1

y = e^{2 c_{1}} x^{2} + e^{2 c_{1}} - 1, y = - e^{2 c_{1}} x^{2} + e^{2 c_{1}} - 1

\frac{d y}{d x} = \frac{sin ( x )}{sec ^{2} ( y )}

y^{^{'}} = \frac{y ^{4}}{x ^{6}}

x y^{2} - 7 y^{2} - x^{2} y^{^{'}} = 0

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

ln (y^{^{'}}) = y