ME218 hw7_2010 - ME 218: ENGINEERING COMPUTATIONAL METHODS...

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ME 218: ENGINEERING COMPUTATIONAL METHODS Home Work #7 Assigned: November 12 th , 2010 Due: November 18 th , 2010 Name: __________________UT EID: ____________Unique: _________ Lab Time: (Mon/Tue) ___PM Problem 1: Numerical solution procedure for 1 st Oder ODEs Solve the following differential equation, dy/dx = -0.5 y 2 assuming that at x = 0, y = 5. Integrate your solution to x = 2 with a step size of 0.5. (a) Solve this equation using by hand (without using the help of any computer application), using the Euler’s method. Report all intermediate steps and finally, tabulate the values of y. (b) Solve this equation using by hand (without using the help of any computer application), using the Heun’s method. Report all intermediate steps and finally,
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This note was uploaded on 09/05/2011 for the course ME 205 taught by Professor Koen during the Spring '07 term at University of Texas at Austin.

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