1. Verify that y = e²x + 3xe²x is a solution of the ODE y" - 4y + 4y = 0. (Show all work when finding the derivatives. Also note that you will need the Product Rule to differentiate 3xe².)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Verify that y = e²x + 3xe²x is a solution of the ODE y" - 4y + 4y = 0.
(Show all work when finding the derivatives. Also note that you will need the
Product Rule to differentiate 3xe².)
Transcribed Image Text:1. Verify that y = e²x + 3xe²x is a solution of the ODE y" - 4y + 4y = 0. (Show all work when finding the derivatives. Also note that you will need the Product Rule to differentiate 3xe².)
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