Assignment #4

Assignment #4 - Stephanie Campbell Assignment 4 MATH263,...

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Unformatted text preview: Stephanie Campbell Assignment 4 MATH263, Fall 2010 due 10/16/2010 at 11:55pm EDT. You may attempt any problem an unlimited number of times. 1. (1 pt) Find a fundamental set of solutions { y 1 ( x ) , y 2 ( x ) } of the equation d 2 y dx 2- 18 dy dx + 81 y = . y 1 ( x ) = . y 2 ( x ) = . 2. (1 pt) Solve the initial value problem d 2 y dx 2 + 10 dy dx + 21 y = , y ( ) =- 6 , y ( ) = 30 y ( x ) = . 3. (1 pt) Solve the boundary value problem d 2 y dx 2 + 12 dy dx + 36 y = , y ( ) = , y ( / 2 ) = 1 y ( x ) = . 4. (1 pt) Find a fundamental set of solutions { y 1 ( x ) , y 2 ( x ) } of the equation x 2 d 2 y dx 2- 11 x dy dx + 61 y = . in the interval x > 0. y 1 ( x ) = . y 2 ( x ) = . 5. (1 pt) Solve the initial value problem x 2 d 2 y dx 2- 5 x dy dx + 45 y = , y ( 1 ) = 1 , y ( 1 ) = 33 y ( x ) = . 6. (1 pt) Solve the boundary value problem x 2 d 2 y dx 2- 9 x dy dx + 25 y = , y ( 1 ) = , y ( 3 ) = 1 y ( x ) = ....
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This note was uploaded on 12/01/2010 for the course MATH 263 taught by Professor Sidneytrudeau during the Fall '09 term at McGill.

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Assignment #4 - Stephanie Campbell Assignment 4 MATH263,...

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