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Questions  >>  CBSE XII  >>  Math  >>  Differential Equations
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Form the differential equation of the family of ellipses having foci on $y$-axis and centre at origin.

$\begin{array}{1 1}(A)xyy'' -x(y')^2 - yy' = 0 \\(B)\;xyy'' + x(y')^2 - yy' = 0 \\(C)\;xyy'' + x(y')^2 + yy' = 0 \\(D)\;xyy'' + x(y')^2 +y' = 0 \end{array} $

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