The solution of the differential equation d y d x = y ^ (x)-y^ 2 (x) where ( x ) is a…
Mathematics · JEE Main · NTA Exams — Differential Equations
The solution of the differential equation \(\frac{d y}{d x}=\frac{y \phi^{\prime}(x)-y^{2}}{\phi(x)}\) where \(\Phi(\mathbf{x})\) is a specified function is :
- \(y=\frac{\phi(x)}{x+c}\)
- \(y=\frac{\phi[x]}{x-c}\)
- \(y=\phi(x)+x+c\)
- None of these
Answer
(A) y= (x) x+c
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