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If f and g are in E(0, ∞), then L[ f g] = L[ f ]∗ L[g]

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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Question

If f and g are in E(0, ∞), then L[ f g] = L[ f ]∗ L[g]

I need help showing that this statement is false. Please, do not provide the answer involving just the Convolution Theorem, since that alone doesn't prove this statement false.

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