MAD4401Quiz3 - Solve the following differential equation...

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MAD 4401 Quiz 3 James Keesling 1 Gaussian Quadrature Problem 1.1. Compute the following integrals using Gaussian Quadrature with eight points. (a) Z π 0 sin( x ) dx (b) Z 1 0 x 15 dx (c) Z 4 - 4 1 1 + x 2 dx Problem 1.2. Give an example of a function on the interval [0 , 1] such that the true integral and the Gaussian Quadrature estimate differ by 20 . Explain how you came up with the function. 2 Picard Iteration Problem 2.1.
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Unformatted text preview: Solve the following differential equation using Picard Iteration. dx dt = t · x x (0) = 2 Problem 2.2. Solve the following differential equation using Picard Iteration. dx dt = t 2 · x x (0) = 1 Problem 2.3. Solve the following differential equation using Picard Iteration. dx dt = t · (2 · x 2 + x + 1) x (0) = 1 1...
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This note was uploaded on 11/12/2011 for the course STA 3032 taught by Professor Kyung during the Summer '08 term at University of Florida.

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