The order and degree of the differential equation `(d^(2)y)/(dx^(2))+((dy)/(dx))^(1//4)+x^(1//5)=0` respectively are

Options

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

Answer

A

Explanation

Given that, `" "(d^(2)y)/(dx^(2))+((dy)/(dx))^(1//4)=-x^(1//5)`
`rArr" "(d^(2)y)/(dx^(2))+((dy)/(dx))^(1//4)=-x^(1//5)`
`rArr" "((dy)/(dx))^(1//4)=-(x^(1//5)+(d^(2)y)/(dx^(2)))`
On squaring both sides, we get
`" "((dy)/(dx))^(1//2)=(x^(1//5)+(d^(2)y)/(dx^(2)))^(2)`
Again, on sqaring both sides, we have
`" "(dy)/(dx)=(x^(1//5)+(d^(2)y)/(dx^(2)))^(4)`
order = 2, degree = 4