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Differential equations, linear equations and online help
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Posted On :
Sep-27-2011
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Article Word Count :
629
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Friends, today we are going to see the concepts behind different types of equations and how can we solve them with the help of Internet
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Friends, today we are going to see the concepts behind different types of equations and how can we solve them with the help of Internet or by using online help. First question arises is that What is an equation? An equation is basically a condition on the variable or we can say that an equation is a mathematical expression which shows the equality of two expressions. It means that the left hand side of the equation is equal to right hand side of the equation. For example
2x + y = 6
Today we are going to discuss about algebraic expressions, differential equations and linear equations. Algebraic expressions is a branch of mathematics which deals with the study of the rules of operations and relations. Symbols can be an Arabic numerals , literal numerals or mathematical operators. Let's take an example:
4x – z = c
Here x and y are variables, c is a constant, 1 is the coefficient of variable z, and 4 is a coefficient of variable x. Here – is the operator.
Sometimes the expression becomes very complicated, then it is very difficult to solve such type of expression. Various college algebra solvers are available on the Internet. The algebra homework help tool allows you to expand, factor or simplify virtually any expression you choose. It also comes with commands which helps you to split fractions into partial fractions and combining several fractions into one. Statistics homework help tool helps to solve problems related to statistics and probability and the equation solver lets you solve an equation or system of equations. It allows you to solve and plot virtually any equation or system of equations. It also contains a number of special commands for dealing with quadratic equations.
Differential equations is a mathematical equation for a function having several variables which relates the value of function itself and it's derivatives of various derivatives. It plays an important role in various fields like engineering, physics, economics and other sections also. Differential equations are of two types: An ordinary differential equation and a partial differential equation.
Common form of differential equation in a homogeneous first-order linear constant coefficient is called ordinary differential equation:
du/dx = cu + x2
Now we are going to learn about the basic concept behind linear equations. We can say that any equation that when graphed produces a straight line, then the equation is called as linear equation. The general form of a linear equation in the two variables like x and y is.....
y = mx + b
where x and y are two variables and m and b are two constants.
The constant m determines the slope or gradient of that line and the constant b shows the point at which line crosses the Y-axis. Constant b is also known as Y-Intercept.
Linear equation can be solved in two ways:
First one is to isolate the variable in a given equation:
for example we need to solve 2x+3=15 then
subtract 3 from both the sides to make it easier
2x + 3 – 3 = 15 – 3
then it becomes 2x = 12
now finally we get the answer for the variable x that is x = 12/2 = 6.
Second method to solve a linear equation is graph method. The graph of every linear equation in two variables is a linear equation. 2X + 3y = 15
In above equation by putting different values of x we are able to get values for y as well which helps to make a graph for linear equation.
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Article Source :
http://www.articleseen.com/Article_Differential equations, linear equations and online help_86241.aspx
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Author Resource :
TutorVista is the #1 portal for learning differential equations online. The tutors working with us are great in explaining linear equations in best possible way.
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Keywords :
algebraic expressions, differential equations, linear equations,
Category :
Reference and Education
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Reference and Education
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