In 4548, without solving match a solution curve of y y f (x) shown in each figure with

Chapter 3, Problem 45

(choose chapter or problem)

In Problems 45-48, without solving match a solution curve of \(y^{\prime \prime}+y=f(x)\) shown in each figure with one of the following functions:

(i) f(x)=1,

(ii) \(f(x)=e^{-x}\),

(iii) \(f(x)=e^{x}\),

(iv) f(x)=sin 2x,

(v) \(f(x)=e^{x} \sin x\),

(vi) f(x)=sin x.

Briefly discuss your reasoning.

                                               

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