1D displacements along vertical column

[jbaldwin156]

 

[Deleted member 4993]

View attachment 31423

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

 

[nasi112]

View attachment 31423

The solution will get messy without knowing these variables and constants.

First step is to simplify the differential equation. What do you get?