The order and the degree of the differential equation ` sqrt(y+ (d^(2)y)/(dx))= x + ((dy)/dx)^(3//2)` are

Options

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

Answer

a

Explanation

The given differential equation can be rewritten as
` y + (d^(2)y)/(dx^(2)) = [ x + ((dy)/dx)^(3//2) ]^(2)`
` rArr y + (d^(2)y)/(dx^(2)) = x^(2)+ ((dy)/dx)^(3) + 2x ((dy)/dx)^(3//2)`
` rArr [ y + (d^(2)y)/(dx^(2)) - x^(2) - ((dy)/(dx))^(3)]^(2) = [ 2x ((dy)/dx)^(3//2) ]^(2) = [ 4x ((dy)/dx)^(3)]`
` :. ` Order and degree of the given differential equation and 2 respectively .