Solving partial differential equation

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The discussion centers on solving the partial differential equation (∂α/∂t) = G[sub(α)] * (a' - a), with the original poster seeking assistance due to a lack of understanding of its derivation. Participants emphasize the importance of classifying the equation by identifying its properties, such as whether it is an ordinary or partial differential equation, its linearity, order, and the dependent and independent variables involved. Understanding these properties can help narrow down appropriate solution methods. The original poster has not yet attempted any solutions and is looking for guidance on how to proceed. Clarifying the context of the equation and the article it comes from is also suggested for better assistance.
Lyndz
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Hi all ,

I would like to solve the following partial differential equation.

(∂α/∂t)=G[sub(α)] *(a'-a)

I attached the equation and solution here as an image.
I don't know how it was derived.

I hope someone can help me
 

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Lyndz said:
Hi all ,
I would like to solve the following partial differential equation.
(∂α/∂t)=G[sub(α)] *(a'-a)
I attached the equation and solution here as an image.

I don't know how it was derived.
I hope someone can help me
What have you tried in attempting to solve the problem?
 
none yet...The article that I am reading just gave the equation and the answer but no detailed solution
 
What is the article? The context of the equation? What is it trying to tell you?
 
And: how much do you know about differential equations?
can you find the following properties:
ODE or PDE?
linear or nonlinear?
order?
dependent variable?
independent variable?
Classifying the equation will narrow down your solution methods.
 

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