14–2 Solving and Integrating Programs
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2. Include an INPUT instruction for each variable, including the unknown. INPUT
instructions enable you to solve for any variable in a multi–variable function.
INPUT for the unknown is ignored by the calculator, so you need to write only
one program that contains a separate INPUT instruction for every variable
(including the unknown).
If you include no INPUT instructions, the program uses the values stored in the
variables or entered at equation prompts.
3. Enter the instructions to evaluate the function.
A function programmed as a multi–line RPN sequence must be in the form
of an expression that goes to zero at the solution. If your equation is f(x) =
g(x), your program should calculate f(x) – g(x). "=0" is implied.
A function programmed as an equation can be any type of equation —
equality, assignment, or expression. The equation is evaluated by the
program, and its value goes to zero at the solution. If you want the
equation to prompt for variable values instead of including INPUT
instructions, make sure flag 11 is set.
4. End the program with a RTN. Program execution should end with the value of
the function in the X–register.
SOLVE works only with real numbers. However, if you have a complex–valued
function that can be written to isolate its real and imaginary parts, SOLVE can solve
for the parts separately.
Example: Program Using RPN.
Write a program using RPN operations that solves for any unknown in the
equation for the "Ideal Gas Law." The equation is:
P x V= N x R x T
where
P = Pressure (atmospheres or N/m
2
).
V = Volume (liters).
N = Number of moles of gas.
R = The universal gas constant
(0.0821 liter–atm/mole–K or 8.314 J/mole–K).
T = Temperature (kelvins; K = °C + 273.1).
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