Advanced Math

  • Thread starter sagigirl
  • Start date
  • #1
1
0

Main Question or Discussion Point

Good day. I was wondering if you could help me solve this first order linear partial differential equation:

[∂δ]/[/∂t] = [ρg]/[/μ] δ^2 [∂δ]/[/∂z].

The solution for this is:

δ(z, t) = √[μ z]/[/ρg t].

I don't really understand how the PDE became like this. If you could show the step-by-step solution, I would really, gladly appreciate it. Thank you :)
 

Answers and Replies

  • #2
berkeman
Mentor
57,263
7,242
Good day. I was wondering if you could help me solve this first order linear partial differential equation:

[∂δ]/[/∂t] = [ρg]/[/μ] δ^2 [∂δ]/[/∂z].

The solution for this is:

δ(z, t) = √[μ z]/[/ρg t].

I don't really understand how the PDE became like this. If you could show the step-by-step solution, I would really, gladly appreciate it. Thank you :)
Welcome to the PF.

Is this for schoolwork?
 

Related Threads on Advanced Math

Replies
0
Views
2K
Replies
2
Views
894
Replies
10
Views
3K
Top