S11_202Hproj1

# S11_202Hproj1 - ECE 202H Spring 2011 Project#1 Solution of...

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ECE 202H – Spring 2011 Project #1: Solution of Ordinary Differential Equations Due: 20 January 2011 at 1:30 PM (50 Points) Complete the following assignment on an individual basis, and submit your result as a report (please include a title page with your name). Where possible, please submit typed descriptions to ensure that we can read your answers! Staple your submission – we are not responsible for lost pages. Your total submission should be less than 10 pages, possibly double-sided. (Up to 15 points will be deducted at a rate of 5 points per submitted page beyond 10.) 1. [5 pts] Given a series RL circuit having R = 0.5 and L = 2 mH, analytically compute the resulting current and component voltages if the input voltage is V in = 5V for t ≥ 0, given that i L (0 - ) = 0A. 2. [20 pts] Create a MATLAB function ode202 that will perform the numerical integration to solve a system model that is expressed in the form ( ) t t v t x f x n ), ( ), ( ) ( = where ) ( n x is the n th derivative of ( ) t x ; ( ) t v is the equation corresponding to the input to the system; and t is time.

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