The solution of y=x ( d y d x + ( d y d x )^ 3 ) , where p= d y d x is given by
Mathematics · JEE Main · NTA Exams — Differential Equations
The solution of \(y=x\left(\frac{d y}{d x}+\left(\frac{d y}{d x}\right)^{3}\right)\), where \(p=\frac{d y}{d x}\) is given by
- \(y=k p^{-3} e^{\frac{1}{2 p^{2}}}\left(p+p^{3}\right)\)
- \(y=p^{3} e^{-\frac{1}{2} p^{2}}\left(p+p^{3}\right)\)
- \(y e^{-\frac{1}{2} p^{2}}=p^{-2}+1\)
- None of these
Answer
(D) None of these
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