Calculator Law of mass action

Differential equation y′=(Ay-a)(By-b)

$$y^{\prime }\left(x\right)=\left(Ay\left(x\right)-a\right)\left(By\left(x\right)-b\right)$$

The general solution of the mass action law differential equation is:

$y\left(x\right)=\frac{b{e}^{x\left(aB-Ab\right)}-aC}{B{e}^{x\left(aB-Ab\right)}-AC}$

with the integration constant C

$C=e^{x\left(aB-Ab\right)}\frac{\left(Ay\left(x\right)-a\right)}{\left(By\left(x\right)-b\right)}$

Calculator for the initial value problem: y'=(Ay-a)(By-b) with the initial values x₀, y₀ and the constants A, a, B, b

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