The Explanation:tion of the differential equation x dx + y dy + x d y-y d x x^ 2 +y^ 2 =0…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
The Explanation:tion of the differential equation
x dx + y dy + \(\frac{x d y-y d x}{x^{2}+y^{2}}=0\) is
x dx + y dy + \(\frac{x d y-y d x}{x^{2}+y^{2}}=0\) is
- \(y=x \tan \left(\frac{x^{2}+y^{2}+c}{2}\right)\)
- \(x=y \tan \left(\frac{x^{2}+y^{2}+c}{2}\right)\)
- \(y=x \tan \left(\frac{c-x^{2}-y^{2}}{2}\right)\)
- none of these
Answer
(C) y=x ( c-x^ 2 -y^ 2 2 )
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