Adomian method for solving some coupled systems of two equations
... In summary, the coupled system (2.1)–(2.4) can be transformed into an another system in which the equations are decoupled and solvable separately. In the following section we use Adomian decomposition method to obtain explicit solutions for each of the two boundary value problems (2.8)–(2.9) and (2. ...
... In summary, the coupled system (2.1)–(2.4) can be transformed into an another system in which the equations are decoupled and solvable separately. In the following section we use Adomian decomposition method to obtain explicit solutions for each of the two boundary value problems (2.8)–(2.9) and (2. ...
Chapter 2 – Solving Linear Equations 2.1 – Writing Equations
... Chapter 2 – Solving Linear Equations 2.1 – Writing Equations Example: Translate each sentence into an equation. A number b divided by three is six less than c. ...
... Chapter 2 – Solving Linear Equations 2.1 – Writing Equations Example: Translate each sentence into an equation. A number b divided by three is six less than c. ...
Algebraic Equations Technique
... Use the same process of calculating via a calculator. Use the second equation and type it in a calculator. Substitute its values until you get a zero. Then follow same procedure as above. (This process might not be applicable for every equation. For such equations, you have to convert them to comple ...
... Use the same process of calculating via a calculator. Use the second equation and type it in a calculator. Substitute its values until you get a zero. Then follow same procedure as above. (This process might not be applicable for every equation. For such equations, you have to convert them to comple ...
Pre-Algebra 8-5 Notes B Completed
... Model Direct Variation (4.6) Definition: Direct Variation is a linear function that can be written in the form y = kx (where x ≠ 0) Definition: k is called the constant of variation ...
... Model Direct Variation (4.6) Definition: Direct Variation is a linear function that can be written in the form y = kx (where x ≠ 0) Definition: k is called the constant of variation ...
Document
... Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals. (This means their product is − 1 ). ...
... Parallel lines have the same slope. Perpendicular lines have slopes that are negative reciprocals. (This means their product is − 1 ). ...
Equation
In mathematics, an equation is an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions. An equation differs from an identity in that an equation is not necessarily true for all possible values of the variable.There are many types of equations, and they are found in all areas of mathematics; the techniques used to examine them differ according to their type.Algebra studies two main families of equations: polynomial equations and, among them, linear equations. Polynomial equations have the form P(X) = 0, where P is a polynomial. Linear equations have the form a(x) + b = 0, where a is a linear function and b is a vector. To solve them, one uses algorithmic or geometric techniques, coming from linear algebra or mathematical analysis. Changing the domain of a function can change the problem considerably. Algebra also studies Diophantine equations where the coefficients and solutions are integers. The techniques used are different and come from number theory. These equations are difficult in general; one often searches just to find the existence or absence of a solution, and, if they exist, to count the number of solutions.Geometry uses equations to describe geometric figures. The objective is now different, as equations are used to describe geometric properties. In this context, there are two large families of equations, Cartesian equations and parametric equations.Differential equations are equations involving one or more functions and their derivatives. They are solved by finding an expression for the function that does not involve derivatives. Differential equations are used to model real-life processes in areas such as physics, chemistry, biology, and economics.The ""="" symbol was invented by Robert Recorde (1510–1558), who considered that nothing could be more equal than parallel straight lines with the same length.