Example 6 - Family of ellipses having foci on x-axis, center - Formation of Differntial equation when general solution given

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Example 6 Form the differential equation representing the family of ellipses having foci on is center at the origin. Ellipse whose foci is on & center at origin is 2 2 + 2 2 =1 Differentiating both sides w.r.t. 2 2 + 2 2 = 1 1 2 2 + 1 2 2 =0 1 2 2 + 1 2 2 . =0 2 2 + 2 2 =0 2 2 = 2 2 2 = 2 = 2 2 Again differentiating both sides . + = 2 2 . . 2 + 2 2 =0 . + 2 2 2 =0 2 . + 2 2 =0 + =

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