Q. 154.5( 2 Votes )
Form the differential equation of the family of an ellipse having foci on the y-axis and centers at the origin.
Equation of the family of an ellipse having foci on the y-axis and centers at the origin can be represented by
Differentiating the above equation with respect to x on both sides, we have,
Again differentiating the above equation with respect to x on both sides, we have,
Rearranging the above equation
This is the required differential equation.
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