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Question
Find the order and the degree of the differential equation `x^2 (d^2y)/(dx^2) = { 1 + (dy/dx)^2}^4`
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Solution
The highest order derivative present in the given differential equations is `(d^2y)/(dx^2),` so its order is 2.
It is a polynomial `(d^2y)/(dx^2) and dy/dx` and the highest power raised to `(d^2y)/(dx^2)` is 1, so its degree is 1.
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