Answer:
[tex]y=\frac{c}{\sqrt[]{x^2+1} }[/tex]
Step-by-step explanation:
(1 + x²)dy +xydx= 0
[tex](1+x^2)dy=-xydx\\\frac{1}{y}dy=\frac{-x}{x^2+1}dx\\[/tex]
Integrate both side
[tex]lny=-\frac{1}{2} ln(x^2+1)+c\\y=\frac{c}{\sqrt[]{x^2+1} }[/tex]
