Prelim 1 Example Problems F11

Prelim 1 Example Problems F11 - S. L. Phoenix TAM 3100 Fall...

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1 S. L. Phoenix TAM 3100 Fall 2011 Typical Prelim 1 Questions with respect to the the current organization of the course (though more problems than typical). 1. Consider the differential equation   4c o s 2 yy t A tt    (a) Find four linearly independent solutions to the homogeneous version of the equation and the general form of the complementary solution,   c yt . ( 12 pts ) (b) Using the method of undetermined coefficients write out the form of the particular solution,  p , without evaluating any of the constants. ( 8 pts ) (a) Suppose 0 A , find the particular solution,   p . ( 7 pts ) (c) Again suppose 0 A and         00 0 0 0 y y  . Find the solution    cp y t  to the differential equation. ( 7 pts ) 2. Consider the differential equation   2 L yx y y x (a) Starting with r y x find two linearly independent solutions to the homogeneous version of the equation   0 Ly . ( 12 pts )

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This note was uploaded on 09/29/2011 for the course TAM 310 at Cornell University (Engineering School).

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Prelim 1 Example Problems F11 - S. L. Phoenix TAM 3100 Fall...

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