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Previous Year Question (PYQs)
3
The order of the differential equation corresponding to the family of curves
$y = c(x - c)^2$, where $c$ is a constant, is…….
Solution
Given $y = c(x - c)^2 = c(x^2 - 2cx + c^2) = c x^2 - 2c^2 x + c^3$.
Differentiate three times to eliminate $c$.
Hence, the differential equation will be of order 3.
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