Can You Solve These Differential Equations with Constants and Functions?

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Discussion Overview

The discussion revolves around solving a set of differential equations involving constants and functions, specifically focusing on the equations for X and Y, and the relationship between X and Y through a function f. The scope includes mathematical reasoning and problem-solving related to differential equations.

Discussion Character

  • Mathematical reasoning, Homework-related

Main Points Raised

  • One participant presents a set of differential equations and a relationship involving a function, seeking assistance in solving them.
  • Another participant points out the confusion in the problem statement, noting the presence of an equation for X and questioning the inclusion of a variable Z that does not appear in the equations.
  • A subsequent reply clarifies that the variable should be Y instead of Z, indicating a correction in the problem statement.
  • The initial poster expresses gratitude, suggesting that the issue has been resolved.

Areas of Agreement / Disagreement

The discussion appears to reach a resolution regarding the variable in question, but the overall problem of solving the differential equations remains unaddressed, indicating that no consensus on a solution has been reached.

Contextual Notes

The initial problem statement contained a mistake regarding the variable, which may affect the interpretation of the equations. The relationship between the variables and the function f remains unspecified, leading to potential ambiguity in solving the equations.

Ado
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Hi!
I need your help for solving a couple of differential equation:

dX/dt = a - b*X

dY/dt = b*(c*exp(-E) - Y) - d*exp(-E)*Y

X = X0 + f(Y, E)

with X0, a, b, c and d are constants and f, a function of Z and E.

Thank you in advance
 
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A bit convoluted, this problem statement is. You have a differential equation for X $$
\dot x = a - bx
$$ and a regular equation, $$ x = x_0 + f(Y, E)$$ with ##z## appearing nowhere. Which is it ?
 
Oh yes, it is a mistake ! it is not Z but Y.
 
Problem solved!
Thanks!
 

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