9758/2021/P1/Q07

It is given that $y=\mathrm{e}^{\sin ^{-1} x}$, for $-1<x<1$.
(a) Show that $\left(1-x^2\right) \frac{d^2 y}{d x^2}=x \frac{d y}{d x}+y$.

[4]

(b) Find the first 4 terms of the Maclaurin expansion of $e^{\sin ^{-1} x}$.

[5]