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Question

Mathematics Question on Differential Equations

Integrating factor of the differential equation (1−y2)dxdy+xy=ay(1-y²) \frac{dx}{dy} + xy = ay is:

A

11−y2\frac{1}{1-y^2}

B

1y2−1\frac{1}{\sqrt{y^2-1}}

C

1y2−1\frac{1}{{y^2-1}}

D

11−y2\frac{1}{\sqrt{1-y^2}}

Answer

11−y2\frac{1}{\sqrt{1-y^2}}

Explanation

Solution

The correct option is (D):

11−y2\frac{1}{\sqrt{1-y^2}}