Separable Differential Equations

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Homework Help Overview

The discussion revolves around a separable differential equation of the form dn/dt = 1/10n, with an initial condition n(1) = -2. Participants are exploring how to separate the variables and integrate both sides of the equation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to separate the variables but expresses confusion regarding the absence of 't' in the equation. Some participants suggest bringing n and dn to one side and dt to the other before integrating. Others question the correct form of the equation, considering different interpretations of the relationship between n and t.

Discussion Status

The discussion is ongoing, with participants providing guidance on how to approach the separation of variables. There is some uncertainty regarding the correct formulation of the differential equation, which is prompting further clarification and exploration of the problem.

Contextual Notes

Participants are navigating potential misunderstandings about the equation's structure and the implications of the initial condition provided.

olicoh
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Homework Statement


Suppse dn/dt = 1/10n and n(1)=-2. Separate the differential equation, then integrate both sides.

The Attempt at a Solution


How do I do this? There is no 't' to 'separate' from the equation. Would it just be:
int[1/10n] = int[0t] ?
 
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Hi olicoh! :smile:

You'll need to bring the n and the dn to one side, and the dt to the other side first. Then you'll need to integrate...
 
micromass said:
Hi olicoh! :smile:

You'll need to bring the n and the dn to one side, and the dt to the other side first. Then you'll need to integrate...

So would it be: int[10]dt = int[n]dn?
 
No. That 10 should be 1/10...
 
Is the equation dn/dt= 1/(10n) or dn/dt= (1/10)n ?
 

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