Let y(x) be the solution of the differential equation 2x^2dy+(e^y-2x)dx=0, x 0. If y(e) = 1, then y(1) is...

Question

Let y(x) be the solution of the differential equation 2x^2dy+(e^y-2x)dx=0, x > 0. If y(e) = 1, then y(1) is equal to:

Accepted Answer

(C)

JEE Main 2021 Mathematics question