Midterm_1_solution_set

Midterm_1_solution_set - MAE 305 Engineering Mathematics...

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MAE 305 Engineering Mathematics – Fall 2005 Mikko Haataja MIDTERM EXAM #1 11:00am-11:50 Friday, October 28 A single hand-written sheet and a pocket calculator are allowed. 3 problems; 20 points each. Please hand in this question sheet at the end of the exam. 1. Conceptual Part. (a) What is meant by “the order of an ordinary differential equation”? Write the general form of a second order linear ordinary differential equation. [5 pts.] A : order corresponds to the highest derivative in the diff. eq. The general form of a second order linear ordinary differential equation can be written ) ( ) ( ' ) ( ' ' ) ( t G y t R y t Q y t P = + + (b) What is meant by a “particular solution”? What is the general solution of a nonhomogenous differential equation? Name at least two methods you have at your disposal for obtaining the particular solution. [5 pts.] A: particular solution is a solution which solves a given non-homogeneous equation.
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This note was uploaded on 05/17/2008 for the course MAE 305 taught by Professor Luigimartinelli during the Spring '06 term at Princeton.

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Midterm_1_solution_set - MAE 305 Engineering Mathematics...

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