Primes in Formulas

Allowing primes in student answers.

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Complete Code

Download file: PrimesInFormulas.pg

POD for Macro Files

PG problem file

Explanation

DOCUMENT();

loadMacros(
    'PGstandard.pl',             'PGML.pl',
    'parserImplicitEquation.pl', 'PGcourse.pl'
);

Preamble

For this problem, we want to enter in differential equations, and the variables will be y', y'' and the resulting equation will be implicit, so the macro parserImplicitEquation.pl is used.

Context('ImplicitEquation');
Context()->variables->{namePattern} = qr/[ty]'*/i;
Context()->variables->are(
    'y'   => 'Real',
    "y'"  => 'Real',
    "y''" => 'Real',
    't'   => 'Real',
);

$diffeq = ImplicitEquation("y'' + 2y' + y = cos(t)");

Setup

We switch the context to ImplicitEquation and then includes the variable y, y', y'' and t. The line Context()->variables->{namePattern} = qr/[ty]'*/i; is used to make sure that primes can be included in the answer.

BEGIN_PGML
Suppose this is a word problem that asks students to set up a differential
equation and enter their differential equation as the answer.

Enter your differential equation below in terms of [`y`], [`y^{\prime}`],
[`y^{\prime\prime}`], [`t`].
(Suppose the answer is the differential equation [`[$diffeq]`].)

[_]{$diffeq}{20} [@ helpLink('equations') @]*
END_PGML

Statement

This is the problem statement in PGML. 
BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION

ENDDOCUMENT();

Solution

A solution should be provided here.