Question

solve the following problem: y(dy/dx)+x=a

Answer 1

Diffrential concept....

$y \frac{dy}{dx} = a - x \\ ydy = (a - x)dx$
now integrate both sides..then
$\frac{ {y}^{2} }{2} = ax - \frac{ {x}^{2} }{2} + c$
hope it will help you.