The solution of differential equation (x^ 2 -y x^ 2 ) d y+ [y^ 2 +x^ 2 y^ 2 ) d x=0 is,
Mathematics · JEE Main · NTA Exams — Differential Equations
The solution of differential equation \(\left(x^{2}-y x^{2}\right) d y+\left[y^{2}+x^{2} y^{2}\right) d x=0\) is,
- \(y+\log |y|=\frac{1}{x}+x+c\)
- \(\frac{1}{y}+\log |y|=-\frac{1}{x}+x+c\)
- \(\frac{1}{y}-\log |y|=-\frac{1}{x}+x+c\)
- None of these
Answer
(C) 1 y - |y|=- 1 x +x+c
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