Answer: Determining Solutions of a Differential Equation

Chapter 4, Problem 3

(choose chapter or problem)

In Exercises 1–12, determine which functions are solutions of the linear differential equation.

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

(a) x

(b) \(e^{x}\)

(c) \(e^{-x}\)

(d) \(xe^{-x}\)

Text Transcription:

y^prime prime prime+y^prime prime +y^prime +y=0

e^x

e^-x

xe^-x

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