In problem fi­gure represents the graph of a particular solution of one of the following differential equations:

Question:

In problem fi­gure represents the graph of a particular solution of one of the following differential equations:

(a) y'' - 3y' - 4y = 0

(b) y'' +­ 4y = 0

(c) y'' +­ 2y' +­ y = 0

(d) y'' +­ y = 0

(e) y'' +­ 2y' +­ 2y = 0

(f) y'' - 3y' +­ 2y = 0

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

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