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Find the order and degree (if defined) o...

Find the order and degree (if defined) of the equation: `a=(1[1+((dy)/(dx))^2]^(3/2))/((d^2y)/(dx^2)),` where `a` is constant

Text Solution

Verified by Experts

The correct Answer is:
Order-2, degree-2
The given equation when exposed as a polynomial in derivative as
`a^(2)(d^(2)y)/(dx^(2))^(2)=[1+((dy)/(dx))^(2)]^(3)`
Clearly, it is second-order differential equation of degree 2.
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