Substitue a variable by a value (Maple and Mupad compatibility) : subs

### 2.12.17 Substitue a variable by a value (Maple and Mupad compatibility) : `subs`

In `Maple` and in `Mupad`, one would use the `subs` command to substitue a variable by a value in an expression. But the order of the arguments differ between `Maple` and `Mupad`. Therefore, to achieve compatibility, `Xcas` `subs` command arguments order depends on the mode

- In `Maple` mode, `subs` takes two arguments : an equality (variable=substitution value) and the expression.
  To substitue several variables in an expression, use a list of equality (variable names `=` substitution value) as first argument.
- In `Mupad` or `Xcas` or `TI`, `subs` takes two or three arguments : an expression and an equality (variable=substitution value) or an expression, a variable name and the substitution value.
  To substitue several variables, `subs` takes two ou three arguments :
  - an expression of variables and a list of (variable names `=` substitution value),
  - an expression of variables, a list of variables and a list of their substitution values.

`subs` returns the expression with the substitution done. Note that `subs` does not quote it’s argument, hence in a normal evaluation process, the substitution variable should be purged otherwise it will be replaced by it’s assigned value before substitution is done.
Input in `Maple` mode (if the variable `a` is purged else input `purge(a)`) :

`subs(a=2,a```^```2+1)`

Output

`2```^```2+1`

Input in `Maple` mode (if the variables `a` and `b` are purged else input `purge(a,b)`):

`subs([a=2,b=1],a```^```2+b)`

Output :

`2```^```2+1`

Input :

`subs(a```^```2+1,a=2)`

or :

`subs(a```^```2+1,a,2)`

Output (if the variable `a` is purged else input `purge(a)`) :

`5`

Input :

`subs(a```^```2+b,[a=2,b=1])`

or :

`subs(a```^```2+b,[a,b],[2,1])`

Output (if the variables `a` and `b` are purged else input `purge(a,b)`) :

`2```^```2+1`