Solved: To find a general solution to the system proceed

Chapter 9, Problem 25E

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To find a general solution to the system proceed as follows:(a) Find a fundamental solution set for the corresponding homogeneous system.(b) The obvious choice for a particular solution would be a vector function of the form however, the homogeneous system has a solution of this form. The next choice would be Show that this choice does not work.(c) For systems, multiplying by t is not always sufficient. The proper guess is Use this guess to find a particular solution of the given system.(d) Use the results of parts (a) and (c) to find a general solution of the given system.