What is the degree of the differential equation
` [1+((dy)/(dx))^(2)]^(3//2) = k (d^(2)y)/(dx^(2))-k(d^(2)y)/(dx^(2))` ?

Options

A. 4
B. 3
C. 2
D. 1

Answer

C

Explanation

The given differnetial equation is
` [ 1+ ((dy)/(dx))^(2)]^(3//2) = k (d^(2)y)/(dx^(2))`
To express it as a polynomial of derivatives we square both side,
` Rightarrow [1 + ((dy)/(dx))^(2) ]^(3) = k^(2) (d^(2)y)/(dx^(2))^(2)`
Highest derivative has power =2
Degree of differential equation =2.