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If you are a scientist, engineer or mathematician, there are too many examples to list. If you aren't, then there are basically none, except in finance.
The abbreviation PDE stands for partial differential equation. This is different from an ordinary differential equation in that it contains multivariable functions rather than single variables.
All types of engineering professions use the quadratic formula since it applies to ordinary differential equations.
ordinary differential equation is obtained only one independent variable and partial differential equation is obtained more than one variable.