JEE Main & Advanced
Mathematics
Differential Equations
Question Bank
Numerical Value Type Questions - Differential Equations
question_answer
Let \[y=y(x)\] be the solution of the differential equation, \[{{({{x}^{2}}+1)}^{2}}\frac{dy}{dx}+2x({{x}^{2}}+1)y=1\] such that \[y(0)=0.\] If \[\sqrt{a}\,\,y(1)=\pi ,\] then the value of 'a' is