The solution of the differential equation d y d x +2 y x= x, y ( 3 )=z :
Mathematics · JEE Main · NTA Exams — Differential Equations
The solution of the differential equation \(\frac{d y}{d x}+2 y \tan x=\sin x, y\left(\frac{\pi}{3}\right)=z\) :
- \(y \sec ^{2} x=\cos x+6\)
- \(y \sec ^{2} x=\sin x+6\)
- \(y \sec ^{2} x=\sec x+6\)
- None of these
Answer
(A) y ^ 2 x= x+6
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