Linear COMBOS: Web App for Finding
Identifiable Parameter Combinations in...

Linear ODEs: dx/dt = f(x,p,u), with Outputs: y = g(x,p)
Parameters p and f, x, p, y and u vectors

Guidelines for User Input

Naming conventions

Time	MUST BE "t"
State vars	MUST BE "x" followed by a number, e.g. x1, x2, ...
Inputs	MUST BE "u" followed by a number, e.g. u1, u2, ...
Outputs	MUST BE "y" followed by a number, e.g. y1, y2, ...
THE NUMBERING OF STATE VARS, INPUTS & OUTPUTS MUST ALWAYS START FROM 1 & BE MONOTONICALLY INCREASING, e.g. inputs appearing in any equation must begin with u1 (even if it's in the x2dot equation).
Parameters	MUST BE any unreserved letter (NOT x,u,y,t) by itself or followed by any combination of letters, numbers, or commas, e.g. p  p4  Vmax  k12,34
Init Conds	CAN BE defined for ANY existing state var and MUST BE expressed as a number or a function of the parameters, e.g. x2(0)=3*p1
Known constants MUST BE entered as numerical values; otherwise, they will be treated as unknown parameters.
Operands MUST BE separated by some combination of operators (+  -  *  /  ^) and regular parantheses, e.g. k0,1*x1+u1

Syntax rules
Enter mathematical equations using familiar ASCIIMathML notation

Note
Results are provided in two forms:
1) All solutions (positive, negative, complex), not necessarily in simplest form. (Default)
2) Only positive solutions, in simplest form.

If You Have One, Copy/Paste Your File

Please enter equations in the following order: 1. ODEs, 2. Outputs, 3. Initial conditions, and separate equations by semicolons,
e.g. dx1/dt=k0,1*x1+u1; y1=x1/V; x1(0)=0

Try these examples!