The differential equation of all the ellipses centred at the origin and having their axes…
Mathematics · JEE Advanced · NTA Exams — Differential Equations
The differential equation of all the ellipses centred at the origin and having their axes as co-ordinate axes is :
- \(y^{2}+x y_{1}^{2}-y y_{1}=0\)
- \(\mathrm{xyy}_{2}+\mathrm{xy}_{1}^{2}-\mathrm{yy}_{1}=0\)
- \(\mathrm{yy}_{2}+\mathrm{xy}_{1}^{2}-\mathrm{xy}_{1}=0\)
- None of these
Answer
(B) xyy _ 2 + xy _ 1 ^ 2 - yy _ 1 =0
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