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This topic is specified its own section for a couple of purposes. Firstly, understanding direction fields and what they tell us regarding a differential equation as well as its solution is significant and can be introduced without any knowledge of how to resolve a differential equation and thus can be done here before we find into solving them. Hence, having much information about the solutions to differential equations without in fact having the solution is a nice concept that requires some investigation.
After that, as we require a differential equation to work along with this is a good section to demonstrate you that differential equations arise naturally in many cases and how we find them. Almost each physical situation which occurs in nature can be illustrated with an suitable differential equation. The differential equation may be easy or difficult to arrive at depending on the situation and the assumptions which are made regarding the situation and we may not ever be capable to resolve it, though it will exist.
The process of illustrating a physical situation along with a differential equation is termed as modeling. We will be looking for modeling some times during this class.
Initial Conditions and Boundary Conditions In many problems on integration, an initial condition (y = y 0 when x = 0) or a boundary condition (y = y
Integration variable : The next topic which we have to discuss here is the integration variable utilized in the integral. In fact there isn't actually a lot to discuss here other
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Example of Adding signed numbers: Example: (2) + (-4) = Solution: Start with 2 and count 4 whole numbers to the left. Thus: (2) + (-4) = -2 Adding
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Every point (x,y) on the curve y=log2 3x is transferred to a new point by the following translation (x',y')=(x+m,y+n), where m and n are integers. The set of (x',y') form the curve
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