xy^'=y^2-2y

Lösung

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

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

Schritte zur Lösung

x y^{'} (x) = y^{2} - 2 y

Solve separable ODE:

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

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

y^{^{'}} = ∣ y ∣^{2}

x y^{^{'}} + y = 1 + y^{^{'}}

y^{^{'}} = \frac{7 x ^{2} - 1}{7 + 11 y}

2 y (y^{^{'}}) + 1 = e^{x - 1}

(2 x - 1) = - (3 y + 7) y^{^{'}}