?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 1

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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

\(y=\left(C_{1}+C_{2} x\right) e^{-3 x}\)                                y’’ + 6y’ + 9y = 0

Text Transcription:

C_1

C_2

y=(C_1+C_2x)e^-3x

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