The differential equation y$\frac{dy}{dx}$ + x = a (where ‘a’ is a constant) represents :
Answer & explanation
Correct answer: option 2
y dy = (a − x) dx
$\frac{y^2}{2}=a x-\frac{x^2}{2} \Rightarrow x^2+y^2=2 a x \Rightarrow x^2+2 a x+y^2=0$
It represents a set of sides with centre on x−axis
Hence (2) is the correct answer.