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Question

The integrating factor of linear differential equation dydx+ysecx=tanx is:

A
secxtanx
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B
secx.tanx
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C
secx+tanx
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D
secx.cotx
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Solution

The correct option is C secx+tanx
Given, dydx+ysecx=tanx

Here P=secx

Integrating factor =ePdx

=esecxdx

=elog(secx+tanx)

=secx+tanx

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