There are plenty of places in order for one to learn more about algorithmic equations. However, one might want to check out brief information about algorithmic equations on the website Wikipedia.
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Partial differential equations are mathematical equations that involve two or more independent variables, an unknown function, and partial derivatives of the unknown function. Even the explanation is confusing! If, however, anyone chooses to learn about PDE there are classes offered at any institution of higher learning.
No.
Consistent.
You maybe thinking of straight line equations or simultaneous equations
A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.