EN 202 : Problem Set 1 Douglas

نویسنده

  • Douglas R. Lanman
چکیده

As discussed in class on 1/27/06, this is a nonhomogeneous constant-coefficient partial differential equation (PDE) of the form aux + buy = f(x, y), where a = b = 1. In particular, this question asks us to solve the Cauchy problem – one which is defined on the entire real line. Using the method presented in class, it is a straightforward process to determine the general solution u(x, y). First, notice that the PDE can be expressed as a constraint on the component of the gradient in the direction of the vector v, defined as follows

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تاریخ انتشار 2006