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Question

Integrating Factor of the differential equation cos2xdydx+y=tanx is____

A
esecx
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B
etanx
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C
esinx
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D
ecosx
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Solution

The correct option is A etanx
Given,

cos2xdydx+y=tanx

dydx+ycos2x=tanxcos2x...............(dividing by cos^2x in both LHS and RHS)

I.F=eP(x)dx

=e1cos2xdx=esec2xdx

=etanx

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