Are the following functions linearly independent on the given interval? x - 2, x + 2 (-2

Chapter 2, Problem 2.1.12

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(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.)

\(y^{\prime \prime}-6 y^{\prime}+9 y=0, e^{3 x}, x e^{3 x}, y(0)=-1.4, y^{\prime}(0)=4.6\)

Text Transcription:

y’’-6y’+9y=0, e^3x, xe^3x, y(0)=-1.4, y’(0)=4.6

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