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2024 SSII MATH 112A

Practice Midterm

Instructions: No notes, books, calculators, or supplies allowed except pencils, pens, and erasers. Show your work (only writing the final answer is not enough to get full credit).

Suggestions: Write neatly. Don’t spend too long on any one problem.

1. Solve the following linear first order partial differential equation:

given that

2. Solve

3. Use the method of separation of variables to find the solutions to:

4. Solve the following Neumann problem for the heat equation,

Formula Sheet