Find the general solution of each of the following differential equati – InterviewSolution

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1.	Find the general solution of each of the following differential equations: `(cosx)(dy)/(dx)+cos2x = cos 3x`
Answer» Correct Answer - `y=sin 2x -2 sinx -x +log \|sec x +tan x \|+C` `(dy)/(dx)=(cos3x-cos 2x)/(cosx)=((4cos^(3)x-3cosx)-(2cos^(2)x-1))/(cosx)` `rArr (dy)/(dx)=4cos^(2)x-2cosx-3+secx` ` rArr (dy)/(dx) =(4(1+cos2x))/(2)-2cosx-3 +secx =2 cos 2x -2cosx -1 +sec x.`

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