In 4348, each figure represents the graph of a particular solution of one of the

Chapter 3, Problem 43

(choose chapter or problem)

In Problems 43–48, each figure represents the graph of a particular solution of one of the following differential equations:

(a) \(y^{\prime \prime}-3 y^{\prime}-4 y=0\)

(b) \(y^{\prime \prime}+4 y=0\)

(c) \(y^{\prime \prime}+2 y^{\prime}+y=0\)

(d) \(y^{\prime \prime}+y=0\)

(e) \(y^{\prime \prime}+2 y^{\prime}+2 y=0\)

(f) \(y^{\prime \prime}-3 y^{\prime}+2 y=0\)

Match a solution curve with one of the differential equations. Explain your reasoning.

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