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A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable) dy/dx = f(x) Here x is an independent variable and y is a dependent variable. For example, dy/dx = 5x.

We can place all differential equation into two types: ordinary differential equation and partial differential equations. A partial differential equation is a differential equation that involves partial derivatives. An ordinary differential equation is a differential equation that does not involve partial derivatives.

There are 3 main types of algebraic expressions which include: Monomial Expression. Binomial Expression. Polynomial Expression.

Polynomials can be classified by the degree of the polynomial. The degree of a polynomial is the degree of its highest degree term. So the degree of 2x3+3x2+8x+5 2 x 3 + 3 x 2 + 8 x + 5 is 3. A polynomial is said to be written in standard form when the terms are arranged from the highest degree to the lowest degree.

The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient....Table 10.2 Classifying a Polynomial Based on Its Degree. DegreeClassificationExample4quartic2x4 - 3x2 + x - 85quintic3x5 - 7x3 - 24 more rows

There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true for particular values of the variables. An equation is written as two expressions, connected by an equals sign ("=").

While differential equations have three basic typesordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as order, linearity, and degree.