Question

Помогите решить уравнение

Answer 1

y(x^2+1)dy/dx+x*(1+y^2)=0
y*dy/(1+y^2)= - x*dx/(x^2+1)
d(1+y^2) / (1+y^2)= - d(x^2+1)/(x^2+1)
ln(1+y^2) = - ln(x^2+1) + C
(1+y^2) = C/(x^2+1)
y^2 = C/(x^2+1) - 1