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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Fall 2024 • Question 5

Question

Math 6420 • PDE Fall 2024 • Question 5

Use the method of characteristics to solve

\[ xu_x+yu_y=u\quad \text {in } \{y>0\} \]

with

\[ u(x,1)=\frac {1}{1+x^2}. \]

Raw LaTeX

Use the method of characteristics to solve

\[
xu_x+yu_y=u\quad\text{in } \{y>0\}
\]

with

\[
u(x,1)=\frac{1}{1+x^2}.
\]

Topic Tags

Method of Characteristics