What is the difference between simple fixed pole and simple movable

In summary, the difference between simple fixed pole and simple movable pole is that in the first case, the pole is at z=0 and does not depend on the integration constant c, while in the second case, the pole is at z=c and therefore depends on c. This is illustrated by the corresponding solutions of the two differential equations, w(z)=c/z and w(z)=1/(z-c) respectively.
  • #1
saravanan13
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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.
 
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  • #2


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.
 

What is the difference between simple fixed pole and simple movable?

Simple fixed pole refers to a pole that is rooted or attached to a fixed point, such as the ground or a building. On the other hand, simple movable refers to a pole that can be easily moved or relocated.

What are the advantages of a simple fixed pole?

A simple fixed pole is more stable and secure compared to a simple movable pole. It also requires less maintenance and is less likely to be damaged or moved by external forces.

What are the advantages of a simple movable pole?

A simple movable pole is more versatile and can be easily adjusted or relocated to meet different needs. It also allows for more flexibility in terms of placement and can be used in various environments.

In what situations would a simple fixed pole be more suitable?

A simple fixed pole is more suitable in situations where stability and security are crucial, such as in construction or supporting structures. It is also ideal for long-term installations.

In what situations would a simple movable pole be more suitable?

A simple movable pole is more suitable in situations where flexibility and adjustability are important, such as in sports or outdoor events. It is also useful in temporary installations or in environments where the ground may not be suitable for a fixed pole.

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