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Question
Find the differential equation of the following:
y = cx + c – c3
Solution
y = cx + c – c3 ......(1)
Here c is a constant which has to be eliminated
Differentiating w.r.t x, `("d"y)/("d"x)` = c .......(2)
Using (2) in (1) we get,
y = `(("d"y)/("d"x)) x + ("d"y)/("d"x) - (("d"y)/("d"x))^3`
Which is the required differential equation.
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