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

Lösung

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

y = 3 x^{3} - 9 x + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = 3 x^{3} - 9 x + c_{1}

y = 3 x^{3} - 9 x + c_{1}

y^{^{'}} + \frac{y}{5} = y^{- 3}

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

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

y^{^{'}} = x e^{5 x - 3 y}, y (0) = 2

\frac{d x}{d t} = 2 x