Maxwell's equations contain two scalar equations and two vector equations. Gauss' law and Gauss' law for magnetism are the scalar equations. The Maxwell-Faraday equation and Ampere's circuital law are the vector equations.
Terms that contain the same variable is called "like terms".
To solve linear equations, you always use the inverse operations
Yes
They are similar terms.
They both have algebraic terms but an expression does not contain an equality sign whereas an equation does contain an equality sign
not always.
A system of equations.
y = 5x3 + 6 is a cubic equation, not a linear equation. Linear equations contain only terms of degree 0 (i.e. constants) and terms of degree 1.
no
You undo one of the operations at a time, always with the aim of isolating the variable you want to solve for on one side.
It is an equation in which one of the terms is the instantaneous rate of change in one variable, with respect to another (ordinary differential equation). Higher order differential equations could contain rates of change in the rates of change (for example, acceleration is the rate of change in the rate of change of displacement with respect to time). There are also partial differential equations in which the rates of change are given in terms of two, or more, variables.
a rational function.
Maxwell's equations contain two scalar equations and two vector equations. Gauss' law and Gauss' law for magnetism are the scalar equations. The Maxwell-Faraday equation and Ampere's circuital law are the vector equations.
No, linear equations don't have x2. Equation with x and y are usually linear equations. Equations with either x2 or y2 (but never both) are usually quadratic equations.
The answer depends on the equation: there is no single method which can be used for all equations.
Start by collecting like terms...