Categorize equation article easily

Aug 6th, 2022
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How to categorize equation article

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hey guys welcome to another video and in this video I will be discussing the classification of differential equations so the goal of the previous videos was to introduce you guys into what a differential equation is and basically just give you the idea that were not just solving for a value we are solving for a function that fits the behavior described by the equation and that brings us to this video where we will talk about how we classify those equations so the first characteristic that we classify a differential equation by is its order so when we talked about slope fields we had an equation that looked like this where this guy is the first derivative of our unknown function and it is a function of x and y and since we are dealing with only the first derivative we call this a first order differential equation so what order means is the term that carries the highest derivative so for example if we had this equation and we recognize that we have a second derivative in this equation

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Classification of expressions: We can classify the expression ing to these 3 conditions : 1) Based on number of terms expression contains. 2) Based on highest degree of the terms. 3) Based on number of variables it contain. Hence, the expression can be classified on these 3 conditions .
Rearrange the equation so that the unknown variable is by itself on one side of the equals sign (=) and all the other variables are on the other side. RULE #1: you can add, subtract, multiply and divide by anything, as long as you do the same thing to both sides of the equals sign. and rearrange it.
8. In APA style, when discussing numbered equations in the text, write out the word Equation and give the number. For example, you would write see Equation 1.
Put parentheses around equation numbers; dont use the word Equation unless after a period. Figure/Table/Algorithm X, with no parentheses. Parentheses are reserved for equations, and square brackets for citations.
Equations are centered on the page and labeled with Arabic numerals, right-aligned, in parentheses, and referred to only by those numbers in the text e.g., you should always say as seen in (3) rather than as seen in Equation (3).
We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system is inconsistent. If the slopes are different, the system is consistent and independent. If the slopes are the same and the y-intercepts are the same, the system is consistent and dependent.
If you include tables, figures, and equations in your documents, they should be properly numbered and cross-referenced. By convention, table captions are above the table; figure captions are below the figure, and equation numbers are to the right of the equation.
Linear just means that the variable in an equation appears only with a power of one. So x is linear but x2 is non-linear. Also any function like cos(x) is non-linear. In math and physics, linear generally means simple and non-linear means complicated.
Numbering The equation numbers should be enclosed by parentheses and placed at the right-hand side of the page. If you are referring to an equation in the text, use eq. (3) (or other abbreviations). If it is the first word in a sentence, capitalize it, i.e., Eq. (3).

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