(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the appropriate equation.

2. Relevant equations

So there we have the ordrinary differential equation

[itex]\frac{d M}{dt}=k_1M-k_2(1-M)=A\exp \left (-\frac{E}{T} \right )M-B\exp \left ( -\frac{F}{T} \right )(1-M)[/itex]

The goal is to solve the differential equation. It turns out the solution should be something like this:

[itex]M=\frac{k_2}{K_1+k_2}+\frac{k_1}{K_1+k_2}\exp -(k_1+k_2)t[/itex]

although I think there may be a typo around the last exp (im not sure if t is inside the exponent or not)

3. The attempt at a solution

After integrating over t I get

[itex]M=Mt(k_1+k_2)-k_2 t[/itex]

But I'm not even sure this is the correct integral of the equation as I don't know how the supposed solution follows from this.

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# Trouble solving an ordinary differential equation

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