\(y=ex-c^{2}\) is the solution of the differential equation
Answer & explanation
Correct answer: option 4
Check that \(y=ex-c^{2}\) satisfies the equation given in (d). \(\frac{dy}{dx}=c\hspace{1cm}\) So, \(\left(\frac{dy}{dx}\right)^{2}-x\left(\frac{dy}{dx}\right)+y=c^{2}-xc+cx-x^{2}=0\)