​ y = e^acos^-1x, - ≤ 1 x ≤ 1 show that (1 - x^2)(d^2y/dx^2) - x(dy/dx) - a2y = 0 ​

Question

y = \(e^{acos^{-1}x}\), - ≤ 1 x ≤ 1 show that (1 - x²)\(\frac{d^2y}{dx^2}\) - x\(\frac{dy}{dx}\)  - a²y = 0

Answer 1

y = \(e^{acos^{-1}x}\)