Ex 9.3, 8 - Family of ellipses having foci on y-axis, center - Ex 9.3

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  1. Chapter 9 Class 12 Differential Equations
  2. Serial order wise
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Ex 9.3, 8 Form the differential equation of the family of ellipses having foci on and center at origin. Equation of ellipse having centre at origin (0,0) & foci on y-axis is 2 2 + 2 2 =1 Differentiating Both Sides w.r.t. 2 2 + 2 2 = (1) 1 2 2 + 1 2 2 =0 2 2 + 2 2 . =0 2 2 = 2 2 2 . = 2 = 2 2 y = 2 2 Again differentiating both sides w.r.t. . . 2 + . =0 . 1 2 + " =0 + " 2 =0 + "=0 2 + =0 . + =

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