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What
is Infinity?
Infinity is a program intended for solving differential and
algebraic equations.
Infinity surely does not possess such an universality as, for example,
Maple. But with its help you can solve problems which would be a
hard nut to crack for any existing mathematical programs.
What are those problems?
Ordinary nonlinear nonautonomous differential equation systems.
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How
to solve linear algebraic equation with the help of Infinity?
1. Start the application.
2. Enter the data:
a) Enter restart in a new worksheet; restart;
and press 'Enter'
b) Enter the equation:
and press 'Enter'
3. will
appear on the screen. The equation is solved!
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How do you solve a linear
algebraic equations system with the help of Infinity?
1. Start the application.
2. Enter the data:
a) Enter restart in a new worksheet; restart;
and press 'Enter'
b) Enter the system equations:
and press 'Enter'
3. will
appear on the screen. The system has been solved!
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How do you find a cubic derivative
with the help of Infinity?
1. Start the application.
2. Enter the data:
a) Enter restart in a new worksheet; restart;
and press 'Enter'
b) Enter the expression:
and press 'Enter'
3.
will appear on the screen. The derivative has been found!
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How
do you solve an ordinary differential equations system with the
help of Infinity?
1. Start the application.
2. Enter the data:
a) Enter restart in a new worksheet; restart;
and press 'Enter'
b) We announce the variables in which the equations system will
be stored:
press 'Enter'
press 'Enter'
a := 1.2 press 'Enter'
c ) We determine a system variable which is responsible for the
calculation accuracy:
press 'Enter'
d ) We determine a system complexity flag:
Complicated := 0 press 'Enter'
e) We determine the integration interval [0;SupT
]:
press 'Enter'
f) We enter a command to start the calculation:
analysis({l1,l2, x1(0):=2, x2(0):=eval(2^3/3-a*2)},{x1(t),x2(t)},{0},{0},
{exp(log(2)-2*t), ((exp(log(2)-2*t))^3)/3-1.2*exp(log(2)-2*t)})
press 'Enter'
g) After a correct command entry a window in which in the process
of calculation function plots are built appears. The system has been solved!
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Note: If
you solved your particular task with the help of Infinity and you
want to share your know-how, send us the solution. We will publish
it at our site and put it into the help file.
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