- #1
andrey21
- 476
- 0
A model for a single lane of traffic is given by the following pde
p dv/dx + v dp/dx + dp/dt = 0
Where:
v = kx/p
Show that
dp/dt = -k
Here is my attempt
v = kx/p
dv/dx = k/p
p= kx/v
dp/dx = k/v
Substituting into original pde:
p (k/p) + v(k/v) + dp/dt=0
Clearly made an error, any help would be great
p dv/dx + v dp/dx + dp/dt = 0
Where:
v = kx/p
Show that
dp/dt = -k
Here is my attempt
v = kx/p
dv/dx = k/p
p= kx/v
dp/dx = k/v
Substituting into original pde:
p (k/p) + v(k/v) + dp/dt=0
Clearly made an error, any help would be great