The correct option is C 2, 2
Simplify the differential equation x2=(1+(dydx)2)3/2d2ydx2
⇒x2d2ydx2=(1+(dydx)2)3/2
Squaring both side
⇒x4(d2ydx2)2=(1+(dydx)2)3
As, Order of a differential equation is the order of the highest order derivate and the degree of differential equation is represented by the power of the highest order derivative in the given differential equation.
Hence, Order=2 and degree =2