Question

Let a curve y = y(x) be given by the solution of the differential equation

cos[1/2 cos^-1(e^-x)]dx = √e^2x-1 dy

If it intersects y -axis at y = –1, and the intersection point of the curve with x -axis is (α, 0), then e^α is equal to ________.

Answer 1

Answer is: 2

Answer 2

Here is a way to solve this question

Answer is 2