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Question
Form the differential equation of family of standard circle
Solution
The equation of family of standard circle with radius r is x2 + y2 = r2, where r is an arbitrary constant.
Differentiating w.r.t. x, we get
`2x + 2y ("d"y)/("d"x)` = 0
∴ `x + y ("d"y)/("d"x)` = 0
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