The Explanation:tion of p^ 2 +(2 y x) p=y^ 2 where p= d y d x is
Mathematics · JEE Advanced · NTA Exams — Differential Equations
The Explanation:tion of \(p^{2}+(2 y \cot x) p=y^{2}\)where \(p=\frac{d y}{d x}\)is
- \(y(1+\cos x)=c\)
- \(y(1-\cos x)=c\)
- \(x=2 \sin ^{-1} \sqrt{\frac{c}{2 y}}\)
- \(x=2 \sin ^{-1}(\sqrt{2 y})+C\)
Answer
(A) y(1+ x)=c, (B) y(1- x)=c, (C) x=2 ^ -1 c 2 y
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