?Verifying a Solution In Exercises 1-4,verify the solution of the differential equation. Then use a graphing utility to graph the particular solutions

Chapter 16, Problem 4

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Verifying a Solution In Exercises 1-4,verify the solution of the differential equation. Then use a graphing utility to graph the particular solutions for several different values of \(C_{1}\) and \(C_{2}\). What do you observe?

Solution                                                                              Differential Equation

\(y=C_{1} e^{-x} \cos 3 x+C_{2} e^{-x} \sin 3 x\)                                y’’ + 2y’ + 10y = 0

Text Transcription:

C_1

C_2

y=C_1 e^-x cos 3x+C_2 e^-x sin 3x

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