One dimensional heat equation


Assignment:

Q1. Consider a bar insulated on both sides with the ends held at some constant temperature (other than 0) my analysis gives, that as times goes to infinity, the temperature goes to 0  which is definitely not accurate and I don’t know where my mistake is.

Q2. How do I solve the same problem when the ends are at different temperatures?

Q3. How do I solve the same problem if the ends are insulated?

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Mathematics: One dimensional heat equation
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