Q. 194.0( 4 Votes )

Solve the followi

Answer :

Given:


Dividing both sides by cos2 x, we get



… (1)


Which is a linear differential equation of the form


Here P=sec2 x, Q = tan x. sec2 x



Solution is



Putting tan x = t sec2 x dx = dt




yet = tet – et + c = et (t – 1) + c


Since tan x = t,



y = tan x – 1 + ce-tan x


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