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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.
Determine if the subsequent series is convergent or divergent. Solution As the cosine term in the denominator doesn't get too large we can suppose that the series term
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Consider the integral where the notation means a contour that is parallel to the real z axis, but moved down by a distance d . Use the method of steepest descents to deri
Q. Define Period, Amplitude and Phase Shift? Ans. Period, amplitude and phase shift are used when describing a sinusoidal curve The period of a function is the smallest
Cross Product In this last section we will look at the cross product of two vectors. We must note that the cross product needs both of the vectors to be three dimensional (3D
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Give the example of Exponents? When a number is multiplied several times, it is easier to write it as an exponent. For example, four multiplied to itself three times, is writte
for all real numbers x, x 0
please give the answer 1/9+1/3 with working out
1. Find the slope and the y-intercept of the line whose equation is 5x + 6y = 7. 2. Find the equation of the line that is parallel to 2x + 5y = 7 and passes through the mid poin
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