The solution of differential equation
` [ e^(-2sqrt(2))/(sqrt(x))-y/(sqrt(xy))](dx)/(dy)=1, (x!=0)` is

Options

A. ` ye ^(2sqrt(x))= x+C`
B. ` ye^(-2sqrt(x)) = sqrt(x)+C`
C. ` y = sqrt(x)`
D. ` y = 3 sqrt(x)`

Answer

a

Explanation

Given , differential equation can be rewritten can be rewritten as
` (dy)/(dx) + y/(sqrt(x)) = e^(-2sqrt(x))`
Here, `P = 1/(sqrt(x)), Q = e^(-2sqrt(x))`
` :. If = e^(int 1/(sqrt(x)dx)) =e^(2sqrt(2))`
` :. ` Solution is
` ye^(2sqrt(x))= int e^(2sqrt(x)) e^(-2sqrt(2)) dx +C = int 1 dx +C`
` rArr ye^(2sqrt(x))= x+C`