Let y = y(x) be the solution of the differential equation xdy – ydx = (x^2-y^2) dx, x 1, with y(1) = 0. If...

Question

Let y = y(x) be the solution of the differential equation xdy – ydx = (x^2-y^2) dx, x 1, with y(1) = 0. If the area bounded by the line x = 1, x = e^ , y = 0 and y = y(x) is e^ 2 + , then the value of 10( + ) is equal to _______.

Accepted Answer

4

JEE Main 2021 Mathematics question

Solution