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Fourier series - Partial Differential Equations
One more application of series arises in the study of Partial Differential Equations. One of the more generally employed methods in that subject use Fourier Series. Several applications of series, particularly those in the differential equations fields, rely on the fact that functions can be presented like a series. In these types of applications it is very hard, if not impossible, to find out the function itself. Though, there are methods of determining the series representation for the not known function.
Find the common difference of an AP whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 terms. Ans: a = 100 APQ a 1 + a 2 + ....... a 6
us consider the following mass-spring-damper system: md2xdt2+cdxdt+kx=0 with m=5 kg as the mass of the body, k=1.6N/m as the spring constant and two different values of c.
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It is the simplest case which we can consider. Unforced or free vibrations sense that F(t) = 0 and undamped vibrations implies that g = 0. Under this case the differential equation
Define tautology and contradiction. Ans: If a compound proposition comprises two atomic propositions as components, after that the truth table for the compound proposition con
1) Compute the center of mass of the solid of unit density 1 bounded (in spherical coordinates) by p=1 and by φ is greater than or equal 0 and less than or equal pi/4
Derivatives The rate of change in the value of a function is useful to study the behavior of a function. This change in y for a unit change in x is
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Show that of all right triangles inscribed in a circle, the triangle with maximum perimeter is isosceles.
4 accounting majors, 2 economics majors and 3 marketing majors have an interview for5 different positions with a large company. Find the number of dfferent ways that 5 of these c
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