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MakeRule
MakeRule[
expr
]
gives rule(s) suitable for substitutions into differential equations using
expr
.
MakeRule[
expr, term
]
gives rule(s), with respect to
term
, suitable for substitutions into differential equations using
expr
.
MORE INFORMATION
To use
MakeRule
, you first need to load the
SYM Package
using
Needs
["SYM`"].
expr
can be either an equation or a rule or a system of equations or rules.
When only
expr
is supplied the equation(s) or rule(s) must have on the left hand side only the term that will be substituted.
term,
when supplied, indicates the term which will be substituted. One for each expression must be provided.
EXAMPLES
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Basic Examples
(2)
In[1]:=
Making a substitution rule for the heat equation assuming that we wish to substitute teh term
u
_{t}
:
In[2]:=
Out[2]=
equivalently,
In[3]:=
Out[3]=
In[4]:=
Out[4]=
If we wish to make a substitution against the term
u
_{xx}
:
In[5]:=
Out[5]=
or
In[6]:=
Out[6]=
In[1]:=
For a list of expressions:
In[2]:=
Out[2]=
or if different terms are needed:
In[3]:=
Out[3]=
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