gtfitzpatrick
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Homework Statement
Use Charpits equations to solve 4u[itex]\frac{\partial u}{\partial x}[/itex] = [itex](\frac{\partial u}{\partial x})^2[/itex]
where u=1 on the line x+2y=2
Homework Equations
The Attempt at a Solution
from the charpit equations i get
[itex]\frac{dx}{dt}[/itex] = 4u
[itex]\frac{dy}{dt}[/itex] = -1
[itex]\frac{du}{dt}[/itex] = 4pu-q
[itex]\frac{dp}{dt} = -4p^2[/itex]
[itex]\frac{dq}{dt} = -4pq[/itex]
next i have to parameterise the inital conditions
the line x+2y=2
x=s
y=[itex]\frac{2-s}{2}[/itex]
whats the next step?