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(x)=bex(aB-Ab)-aCBex(aB-Ab)-AC

with the integration constant C

C=ex(aB-Ab)(Ay(x)-a)(By(x)-b)

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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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=

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