(dy)/(dx)=(3x+xy^2)/(y+x^2y)

Lösung

\frac{d y}{d x} = \frac{3 x + x y ^{2}}{y + x ^{2} y}

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 3, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 3

Schritte zur Lösung

\frac{d y}{d x} = \frac{3 x + x y ^{2}}{y + x ^{2} y}

Solve separable ODE:

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 3, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 3

y = e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 3, y = - e^{2 c_{1}} + e^{2 c_{1}} x^{2} - 3