Solving a First Order Linear PDE

sagigirl
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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 :)
 
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sagigirl said:
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?
 

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