Math 442: Intro to Partial Differential Equations Homework 9
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Homework 9
Math 442: Intro to Partial Differential Equations
(Exercises are taken from Partial Differential Equations An Introduction, Second Edition by Walter A. Strauss.)
1. Find the solution to
ut = uxx − xux, u(0, x) = x2
2. Exercise §10.3 #5. Solve the diffusion equation in the ball of radius a, with u= B on the boundary and u= C when t= 0, where B and C are constants. (Hint: The answer is radial.)
3. Exercise §9.4 #4. Derive the first four Hermite polynomials from scratch.
2023-07-27