Problem+set+4

Problem+set+4 - the interval[0 0.05 3 Solve the following...

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BIM 107 Winter 2010 Problem Set #4 (Ordinary Differential Equations) Due date: 3/1/10 Problem 1.
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2. (a) Solve the following equation y ''(x) + y(x) = x, 0 ! x ! " / 2, with y(0) = 2 and y '(0) = 2 # / 2. (b) Now solve the above equation numerically (Euler solution) using a step size of h=0.01, and compute errors at each step. Use the given initial conditions and solve in
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Unformatted text preview: the interval [0, 0.05]. 3. Solve the following differential equation x ''(t) + 100x '(t) + 0.9999x(t) = 0, with x (0) = 1 and x' (0) = 0, and plot your results (over reasonable range of t values) using MATLAB routines ode45 and ode15s and compare the result....
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Problem+set+4 - the interval[0 0.05 3 Solve the following...

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