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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

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