2013-47.md

course	course_year	question_number	tags	title	year
Methods	IB	47	IB 2013 Methods	Paper 2, Section I, B	2013

Consider the equation

$$x u_{x}+(x+y) u_{y}=1$$

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