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 a differential equation is the answer, the variables in that equation will include y' and 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

Switch to the ImplicitEquation context and then include the variables y, y', y'', and t.

Setting Context()->variables->{namePattern} = qr/[ty]'*/i allows primes to 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.