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Differential equations

Please help solving these problems

section 4.7 # 4,6,12
section 4.8 # 2,6,8,12
section 4.9 #4,8,12

see attached

Find a general solution to the given Cauchy-Euler equation...
Using the paradigm, what are the inertia, dampness, and stiffness....
Use the energy integral lemma....
Use reduction of order to solve....


Solution Summary

This provides examples of solving several differential equation problems, including Cauchy-Euler, energy integral lemma, reduction of order, and mass-spring systems.