SOLUTION: The function x^(2)e^(−4x) is annihilated by the operator

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Question 1184565: The function x^(2)e^(−4x) is annihilated by the operator
Found 2 solutions by ikleyn, robertb:
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
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Is annihilated by multiplying by the factor of 0 (of zero).



Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

The operator %28D+%2B+4%29%5E3 will annihilate the function y=x%5E2%2Ae%5E%28-4x%29,

and as you may already know, %28D+%2B+4%29%5E3y+=+%28D%5E3+%2B12D%5E2+%2B+48D+%2B+64%29y+=+0.