Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 2, Section I, B

Methods | Part IB, 2013

Consider the equation

xux+(x+y)uy=1x u_{x}+(x+y) u_{y}=1xux​+(x+y)uy​=1

subject to the Cauchy data u(1,y)=yu(1, y)=yu(1,y)=y. Using the method of characteristics, obtain a solution to this equation.

Typos? Please submit corrections to this page on GitHub.