Analytical integration

[Minniesals]

Hey! I'm stuck with this problem:


My mean-field equation is:
$$\dot{[B]} = -\frac{\beta [B]^2}{N} + (\beta - \gamma ) [B]$$
Doing the first step where I get 1/B^2 on both sides, I get the following:
$$\frac{1}{[B]^2}\dot{[B]} = -\frac{\beta}{N} + \frac{\beta - \gamma}{[B]}$$
However, I am struggling with how to do the chain rule part. Could somebody help me, please?

Thanks in advance!

 

[blamocur]

Can you express $\dot y$ in terms of $B$ and $\dot B$ ?

(I don't understand why $B$ is inside square brackets, probably because I am not familiar with MFT).

 

[Deleted member 4993]

Hey! I'm stuck with this problem:

View attachment 30256
My mean-field equation is:
$$\dot{[B]} = -\frac{\beta [B]^2}{N} + (\beta - \gamma ) [B]$$
Doing the first step where I get 1/B^2 on both sides, I get the following:
[$]\frac{1}{^2}\dot{} = -\frac{\beta}{N} + \frac{\beta - \gamma}{}[/$]

However, I am struggling with how to do the chain rule part. Could somebody help me, please?

Thanks in advance!

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