1)

The solution of (y3x2)dx+xdy=0 is 


A) y(x)=sinx+1x2+C

B) y(x)=cosx1x2+C

C) y(x)=x2+Cx

D) y(x)=x+Cx

Answer:

Option C

Explanation:

We have,

   (y3x2)dx+xdy=0

    ydx3x2dx+xdy=0

  ydx+xdy=3x2dx

      dxy=3x2dx

On integrating both sides , we get 

     xy=x3+Cy=x2+Cx