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Question

Mathematics Question on Differential Equations

The integrating factor of the differential equation (1 +y2)dx - (tan-1 y - x)dy = 0, is :

A

tan-1 y

B

etan1ye^{\tan^{-1}y}

C

11+y2\frac{1}{1+y^2}

D

1x(1+y2)\frac{1}{x(1+y^2)}

Answer

etan1ye^{\tan^{-1}y}

Explanation

Solution

The correct option is (B) :etan1ye^{\tan^{-1}y}.