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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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