hw2_09 - 02/07/09 EP 471 Homework #2 Imagine that you are...

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02/07/09 EP 471 – Homework #2 Imagine that you are working in a research lab and the researchers need the solutions to these ordinary differential equations. It is not entirely necessary that you understand everything about the equations but your boss expects that since you have taken EP/EMA 471 that you will know how to solve these. As in the first homework set, use publish to HTML to produce a report for each problem that outlines your solution. (1) Solve the following BVP over the interval 2 0 t : 0 ) 2 ( , 1 ) 2 ( , 0 ) 0 ( ; 5 10 2 2 2 3 3 3 = = = = + dt y d y y ty t y dt dy dt y d Because of the non-linear nature of the equation, you should focus just on the bvp4c solver. When you have the solution, plot y , dy / dt and d 2 y / dt 2 all on the same plot. (2) The most general form of boundary conditions that can be specified for a second order BVP is a linear combination of the function and its derivative at both ends of the interval. Consider the second order equation,
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This note was uploaded on 01/30/2012 for the course ENGINEERIN 471 taught by Professor Witt during the Spring '08 term at Wisconsin.

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hw2_09 - 02/07/09 EP 471 Homework #2 Imagine that you are...

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