Q6 of 68 Page 910

Form the differential equation of the family of curves y2=m(a2-x2), where a and m are parameters.

Equation of the family of curves, y2=m(a2-x2), where a and m are parameters.

Differentiating the above equation with respect to x on both sides, we have,




(1)


Differentiating the above equation with respect to x on both sides,


(2)


From equations (1) and (2),



This is the required differential equation.


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