Get answer: To get a feel for higher order ODEs. show that the given functions are
Chapter 3, Problem 3.1.4(choose chapter or problem)
To get a feel for higher-order ODEs, show that the given functions are solutions and form a basis on any interval. Use Wronskians. (In Prob. 2, x > 0.)
\(e^{2 x} \cos x, e^{2 x} \sin x, e^{-2 x} \cos x, e^{-2 x} \sin x\), \(y^{\text {iv }}-6 y^{\prime \prime}+25 y=0\)
Text Transcription:
e^2x cos x, e^2x sin x, e^-2x cos x, e^-2x sin x, y^iv - 6y” + 25y = 0
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