Form a differential equation for the family of curves represented by `ax^2 + by^2 = 1`, where a and b are arbitrary constants.

Form a differential equation for the family of curves represented by `ax^2 + by^2 = 1`, where a and b are arbitrary constants.
A. `xyy_(2)+x(y_(1))^(2)-yy_(1)=0`
B. `x:y=y_(1)`
C. `y:x=y_(2)`
D. `y_(2)xy_(1)+y^(2)`

Form a differential equation for the family of curves represented by `ax^2 + by^2 = 1`, where a and b are arbitrary constants.

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