Differential Equations · JEE Main previous year questions

2016 1 question

1. Q132016 · 3 Apr 2016 · Shift 1

   If a curve $y=f(x)$ passes through the point $(1,-1)$ and satisfies the differential equation, $y(1+xy)dx=xdy$, then $f\left(-\frac{1}{2}\right)$ is equal to :

   1. A.$\frac{2}{5}$
   2. B.$\frac{4}{5}$
   3. C.$-\frac{2}{5}$
   4. D.$-\frac{4}{5}$
   Show answer

   Answer: B