The general solution of the differential equation, 2 x ( d y d x - x )-y=0, is:
Mathematics · JEE Main · NTA Exams — Differential Equations
The general solution of the differential equation, \(\sin 2 x\left(\frac{d y}{d x}-\sqrt{\tan x}\right)-y=0,\) is:
- \(\mathrm{y} \sqrt{\tan \mathrm{x}}=\mathrm{x}+\mathrm{c}\)
- \(y \sqrt{\cot x}=\tan x+c\)
- \(y \sqrt{\tan x}=\cot x+c\)
- \(y \sqrt{\cot x}=x+c\)
Answer
(D) y x =x+c
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