Use the Wronskian and any needed theorems to show that   f1 = cos x + x3    and  f2 = sin x +2e3x   are linearly independent. Show all steps. (No technology).  Be sure to state your reasoning (and any work to support that reasoning) for your conclusion.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
Problem 91E
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Use the Wronskian and any needed theorems to show that  

f1 = cos x + x3    and  f2 = sin x +2e3x  

are linearly independent.

Show all steps. (No technology).  Be sure to state your reasoning (and any work to support that reasoning) for your conclusion.

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