What is the difference between simple fixed pole and simple movable

[saravanan13]

What is the difference between simple fixed pole and simple movable pole?
Differential eqs. z(dw/dz)+w=0, corresponding solution w(z)=c/z, and (dw/dz)+w^2=0, corresponding solution w(z)=1/(z-c) where c being the integration constant. In the solution given above Ist equation has a simple fixed pole and IInd equation has a simple movable pole.
I don't see any difference between these solutions. Please clarify the above point clearly.

Thanks in well advance.

 

[JJacquelin]

Case w(z)=c/z : The pole is z=0 , not depending on c.
Case w(z)=1/(z-c) : The pole is z=c , so depending on c.