Q: Is an equation a statement of an equality containing one or more variables? ¶
A: Yes.
Q: Is an equation analogous to a scale into which weights are placed? ¶
A: Yes.
Q: Are equations used to model processes that involve the rates of change of the variable? ¶
A: Yes, and are used in areas such as physics, chemistry, biology, and economics.
Q: Are equations called a parametric representation of the curve? ¶
A: Yes.
Q: Are equations difficult in general? ¶
A: Yes, one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.
Q: Is an equation univariate if it involves only one variable? ¶
A: Yes.
Q: Is an equation an equation where the unknown is a function f which occurs in the equation through f? ¶
A: Yes, and f , …, f , for some whole integer k called the order of the equation.
Q: Are equations studied from several different perspectives? ¶
A: Yes, and mostly concerned with their solutions — the set of functions that satisfy the equation.
Q: Is an equation true for only particular values of the variables? ¶
A: Yes.
Q: Is an equation usually preferred to algebraic equation? ¶
A: Yes.
Q: Are equations a set of simultaneous equations? ¶
A: Yes, and usually in several unknowns, for which the common solutions are sought.
Q: Is an equation one for which exponents of the terms of the equation can be unknowns? ¶
A: Yes.
Q: Are equations simultaneously satisfied? ¶
A: Yes.
Q: Are equations equivalent if they have the same set of solutions? ¶
A: Yes.
Q: Is an equation analogous to a weighing scale? ¶
A: Yes, and balance, or seesaw.
Q: Are equations used to describe geometric figures? ¶
A: Yes.
Q: Is an equation a polynomial equation in two or more unknowns for which only the integer solutions are sought? ¶
A: Yes, A linear Diophantine equation is an equation between two sums of monomials of degree zero or one.
Q: Is an equation equivalent to an equation in which the right-hand side is zero? ¶
A: Yes.
Q: Are equations to be considered collectively? ¶
A: Yes, and rather than individually.
Q: Is an equation a mathematical equation that relates some function with its derivatives? ¶
A: Yes.
Q: Is an equation usually written ax2 + bx + c = 0? ¶
A: Yes, The process of finding the solutions, or in case of parameters, expressing the unknowns in terms of the parameters is called solving the equation.
Q: Is an equation ax + by = c where a? ¶
A: Yes, and b, and c are constants.
Q: Are equations equations that involve one or more functions and their derivatives? ¶
A: Yes.
Q: Are equations solvable by explicit formulas? ¶
A: Yes, however, some properties of solutions of a given differential equation may be determined without finding their exact form.