This is a practice question from my Differential Equations course: Show directly that the given functions are linearly dependent on the real line. That is, find a non-trivial linear combination of the given functions that vanishes identically. f(x)=2x, g(x)=3x^2, h(x)=5x-8x^2 Thank you.

This is a practice question from my Differential Equations course: Show directly that the given functions are linearly dependent on the real line. That is, find a non-trivial linear combination of the given functions that vanishes identically. f(x)=2x, g(x)=3x^2, h(x)=5x-8x^2 Thank you.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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This is a practice question from my Differential Equations course:

Show directly that the given functions are linearly dependent on the real line. That is, find a non-trivial linear combination of the given functions that vanishes identically.

f(x)=2x,

g(x)=3x^2,

h(x)=5x-8x^2

Thank you.

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