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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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