CUET Preparation Today
CUET
-- Mathematics - Section B1
Differential Equations
If the solution of the differential equation $\frac{dy}{dx}=\frac{ax+3}{2y+f}$ represents a circle, then the value of ‘a’ is:
2
-2
3
-3
$(ax+3)dx=(2y+f)dy⇒\frac{-a}{2}x^2+y^2-3x+fy+c=0$
This will represent a circle, if $\frac{-a}{2}=1⇒a=-2$