Due to the nature of the mathematics on this site it is best views in landscape mode. If your device is not in landscape mode many of the equations will run off the side of your device should be able to scroll to see them and some of the menu items will be cut off due to the narrow screen width. Linear Differential Equations The first special case of first order differential equations that we will look at is the linear first order differential equation. In this case, unlike most of the first order cases that we will look at, we can actually derive a formula for the general solution.
In other words, if two expressions are equal to each other and you multiply or divide except for 0 the exact same constant to both sides, the two sides will remain equal. Note that multiplication and division are inverse operations of each other. For example, if you have a number that is being multiplied that you need to move to the other side of the equation, then you would divide it from both sides of that equation.
Note, for multiplication and division, it is not guaranteed that if you multiply by the variable you are solving for that the two sides are going to be equal. But is guaranteed that the two sides are going to be equal if you are multiplying or dividing by a constant or another variable that you are not solving for.
We will talk more about this in a later tutorial. For this tutorial just note you can use this property with constants and variables you are not solving for. Solve for the variable. The examples above were using only one property at a time to help you understand the different properties that we use to solve equations.
However, most times, we have to use several properties to get the job done. The following is a strategy that you can use to help you solve linear equations that are a little bit more involved.
Simplify each side, if needed.What is the General Form Linear Equation? General Form Linear Equation: (Ax + By + C = 0) To calculate the General Form Linear Equation from two coordinates (x 1,y 1) and General Form Linear Formula.
Example: To calculate the General Form Linear Equation for a line that includes the two points (-3, -1) and (3, 2). How to Solve a Linear Diophantine Equation. In this Article: Setting up the Equation Using the Euclidean Algorithm Renaming the GCF to find the Solution Finding Infinitely Many More Solutions Community Q&A Solving a linear Diophantine equation means that you need to find solutions for the variables x and y that are integers only.
General Form of Equation of a Line The "General Form" of the equation of a straight line is: Ax + By + C = 0.
A or B can be zero, but not both at the same time. The General Form is not always the most useful form, and you may prefer to use: The Slope-Intercept Form of the equation of a straight line.
Machine learning is the science of getting computers to act without being explicitly programmed. In the past decade, machine learning has given us self-driving cars, practical speech recognition, effective web search, and a vastly improved understanding of the human genome.
Sep 22, · We look at how to take an equation in slope intercept form and write it in general form. We look at how to take an equation in slope intercept form and write it in general form.
Write Linear. In statistics, linear regression is a linear approach to modelling the relationship between a scalar response (or dependent variable) and one or more explanatory variables (or independent variables).The case of one explanatory variable is called simple linear attheheels.com more than one explanatory variable, the process is called multiple linear regression.