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A function describes a relation between several variables. For example the function f(x)=x2 describes a mapping from the variable x to a value that is the square of x. That is, for every real number we put as x, we will get a value for f(x). A function is defined for some domain and gets values from some range.
An equation takes two terms and says they are equal. Usually both terms are functions of the same variable(s). For example, to build the equation x2 = x+2,
we will use f(x) = x2, g(x) = x+2 and say that f(x)=g(x).
Solving an equation means finding the set of values of the equation's variables which satisfy the equation. This set of values has to be part of the domains of the functions in both terms of the equation.
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What is the difference between a algebraic equation and a algebraic expression?
An equation has an equal = sign whereas an expression does not.
What is the difference between a linear function and a quadratic equation?
A linear equation describes a line like 2x+1=y. If you were to graph that equation, then it would give you a line. A quadratic equation is like x^2+2x+1=y. Graphing this equation would give you a U shaped graph called a parabola.
What major difference between the equation for a hyperbola and for an ellipse is the operation performed The terms in the equation of an are subtracted?
hyperbola
What is the difference between Lagrange's equation of motion and Euler-Lagrange's equation of motion?
Both are same..just the names are different.
Is a linear equation the same as a function?
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
