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How to categorize equation pdf

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This video discusses the classification of differential equations based on their order, which is determined by the highest derivative term in the equation. The focus is on solving for a function that fits the behavior described by the equation rather than just a value. For example, a first order differential equation involves the first derivative of the unknown function as a function of x and y. Higher order differential equations involve terms with more derivatives.

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How do you classify equations?

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.

How do you classify linear systems?

TYPES OF LINEAR SYSTEMS An independent system has exactly one solution pair (x,y). The point where the two lines intersect is the only solution. An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect. A dependent system has infinitely many solutions.

What is the condition of linear equation?

An equation in the form of ax + by + c, where a,b and c are real numbers and a,b are not equal to zero, is called a linear equation in two variables.

What is the solution to the equation?

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation. To find the solution to an equation means to find the value of the variable that makes the equation true.

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