- #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 :)

[∂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 :)