y(dy)/(dx)=x+xy^2

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{d y}{1 + y} = \frac{d x}{1 + x}

y^{^{'}} = 3.2 y^{\frac{2}{3}}

y^{^{'}} = k \cdot (y - c)

\frac{d V}{d t} = k (40 - V)

\frac{1}{y} d x - \frac{x}{y ^{2}} d y = 0