- #1

andrey21

- 476

- 0

**A model for single land of traffic is given below:**

p.dv/dx + v. dp/dx + dp/dt = 0

Where v = kx/p

**Show that with the expression for p, the PDE becomes:**

dp/dt = -k

**Here is my attempt**

v = kx/p

dv/dx = k/p

Sub into pde:

p (k/p) + (kx/p) .dp/dx + dp/dt = 0

k + (kx/p). dp/dx + dp/dt = 0

This is how far I can get, any help would be great.