Consider the differential equation given below.

$$\frac{dy}{dx}+\frac{x}{1-x^{2}}y=x\sqrt{y}$$

The integrating factor of the differential equation is

- $\left ( 1-x^{2} \right )^{-3/4}$
- $\left ( 1-x^{2} \right )^{-1/4}$
- $\left ( 1-x^{2} \right )^{-3/2}$
- $\left ( 1-x^{2} \right )^{-1/2}$