# Calculator Mass Action Law

## Differential equation y′=(Ay-a)(By-b)

$y′(x)=(Ay(x)-a)(By(x)-b)$

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

Scale screen:
Digits =
Grid points:
Scale grid vectors=
Curve:
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Initial values

x0=
y0=

Parameter value

A=
a=
B=
b=

Axes ranges

x-min=
x-max=
y-min=
y-max=

Parameter ranges

A-min=
A-max=
a-min=
a-max=
B-min=
B-max=
b-min=
b-max=

### Screenshot of the graph

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