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Differential equations

Hi, Please help on these
Please show all steps

section 6.4 # 2,4,6,14
section 7.2 #4,12,18,31

see attached

Use the method of variation of parameters...
Determine the Laplace transform....
use the Laplace transform table and the linearity of the Laplace transform to determine the following transforms...


Solution Summary

This provides examples of working with differential equations, including word problems, Laplace transforms, and variation of parameters to find a particular solution.