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Question
Find the differential equation of the following:
x2 + y2 = a2
Solution
Differentiating w.r. to x
`2x + 2y ("d")/("d"x)` = 0
⇒ `2y ("d"y)/("d"x) = - 2x`
`("d"y)/("d"x) = (-2x)/(2y)`
⇒ `("d"y)/("d"x) = (-x)/y`
`y ("d"y)/("d"x) = -x`
⇒ `x + y ("d"y)/("d"x)` = 0
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