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Unformatted text preview: dx dt = x + t sin( t ) x (0) = 1 Problem 2.2. Determine a power series solution to the following dierential equation. dx dt = x x (0) = 1 Problem 2.3. Determine a power series solution to the following dierential equation. dx dt = x + t 2 x x (0) = 1 3 Numerical Methods: Taylor, Euler, Modied Euler, Heun, RungeKutta Problem 3.1. Solve the following dierential equations using the Taylor Method, the Euler Method, the Heun Method, and the RungeKutta Method. dx dt = t x x (0) = 1 dx dt = t sin( x ) x (0) = 1 dx dt = t 2 x x (0) = 1 dx dt = t x 2 x (0) = 1 2...
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 Summer '08
 Kyung
 Statistics

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