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Chapter 8
Nonlinear systems

  4.8.1 Change of variables
  4.8.2 D’Alembert’s formula
  4.8.3 Another way to solve for the side conditions
  4.8.4 Exercises
 4.9 Steady state temperature and the Laplacian
  4.9.1 Exercises
 4.10 Dirichlet problem in the circle and the Poisson kernel
  4.10.1 Laplace in polar coordinates
  4.10.2 Series solution
  4.10.3 Poisson kernel
  4.10.4 Exercises