Ex 9.3, 9 - Chapter 9 Class 12 Differential Equations

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Ex 9.3, 9 Form the differential equation of the family of hyperbolas having foci on and center at origin. Equation of hyperbola having foci on x-axis & center at origin (0, 0) 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 2 . = 2 . = 2 2 y = 2 2 Again differentiating both sides . . 2 + . =0 . 1 2 + " =0 . 1 2 + " =0 + " 2 =0 + "=0 2 + =0 . + =