course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Methods |
IB |
51 |
|
Paper 2, Section II, B |
2010 |
Explain briefly the use of the method of characteristics to solve linear first-order partial differential equations.
Use the method to solve the problem
where
By considering your solution explain:
(i) why initial conditions cannot be specified on the whole
(ii) why a single-valued solution in the entire plane is not possible if