Are the following functions linearly independent on the given interval? In x, In x 2 (x
Chapter 2, Problem 2.1.11(choose chapter or problem)
(More in the next problem set.) Verify by substitution that the given functions form a basis. Solve the given initial value problem. (Show the details of your work.)
\(y^{\prime \prime}+2 y^{\prime}+2 y=0, \quad e^{-x} \cos x, e^{-x} \sin x, y(0)=1, y^{\prime}(0)=-1\)
Text Transcription:
y’’+2y’+2y=0, e^-x cos x, e^-x sin x, y(0)=1, y’(0)=-1
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