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The integrating factor of linear differential equation dy/dx+ysecx=tanx is - Mathematics and Statistics

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The integrating factor of linear differential equation `dy/dx+ysecx=tanx` is

(a)secx- tan x

(b) sec x · tan x

(c)sex+tanx

(d) secx.cotx

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Solution

`dy/dx+P.y=Q`

therefore P=secx

`I.f=e^(intsecxdx)=e^(log|sex+tanx|)`

=secx+tanx

Concept: Differential Equations - Linear Differential Equation
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