Solving a Simple PDE: Understanding D/Dr and D/Dt

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Discussion Overview

The discussion centers around solving a partial differential equation (PDE) of the form D/Dr (f) = D/Dt (f). Participants are exploring methods to approach the problem without seeking a final answer directly.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant asks how to solve the PDE and requests an explanation beyond just the final answer.
  • Another participant suggests using separation of variables as a method to solve the equation.
  • A third participant expresses uncertainty about the method and seeks further assistance.
  • A later reply proposes a specific form for the function f(r,t) as a product of two functions, R(r) and T(t), and outlines the steps to substitute this into the original equation and separate the variables.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the method of solution, and there are varying levels of understanding and confidence regarding the approach to take.

quantum123
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How do you solve this simple PDE?
D/Dr (f) = D/Dt (f) ?
Pls don't just give me the final answer.
 
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Separation of variables.
 
Not too sure how, can you help?
 
Let f(r,t)=R(r)*T(t), substitute this into your originak equation, take the derivatives and separate the variables(Rs on one side of the equation and Ts on the other).
 

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