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The heat equation in a bar with its ends and kept at temperature zero, allows for solutions defined by the eigenfunctions .

Use any software to plot or animate the first three eigenfunctions

with .

Choose the correct statement related to your observations:

decays faster than

✅

reaches zero values slower than

❌

Sharp features remain visible for a long time, as we expect from diffusion

❌

Sharp features appear everywhere as we expect from diffusion.

❌

decays faster than and

❌

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