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Question

Math 6410 • ODE

Fall 1995 • Question 6

Write a brief discussion of the method of characteristics and then demonstrate the method by solving \[ u_x+u_y=u^2;\qquad u(x,0)=x^2. \]

Raw LaTeX

Write a brief discussion of the method of characteristics and then
demonstrate the method by solving
\[
u_x+u_y=u^2;\qquad u(x,0)=x^2.
\]