The solution of the differential equation
`(dy)/(dx) +y/x = sin x` is

Options

A. ` x(y+cos x)= sin x+C`
B. ` x (y-cos x) = sin x+C`
C. ` x (y cos x)= sin x+C`
D. ` x (y- cos x)= cos x+C`

Answer

a

Explanation

Given , `(dy)/(dx) + y/x= sin x , :. IF = e^(int 1/x dx) = x`
` :. " Solution is " y * x = int x sin x dx + C`
` rArr xy -x cos x + sin x +C`
` rArr ( y + cos x) = sin x + C`