What are the oder and degree respectively of the differential equation `y=x (dy)/(dx)+(dx)/(dy)` ?

Options

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

Answer

B

Explanation

The given differential equation is
` y=x(dy)/(dx) +(dx)/(dy)`
Multiplying both the sides by `(dy)/(dx)`
we get `((dy)/(dx))y=x ((dy)/(dx))^(2)+1`
` Rightarrow x((dy)/(dx))^(2) -y ((dy)/(dx))+1=0`
Hence, order and degree of differential equation are 1 and 2.