midtermsolution - 1 1. [6 marks] Solve using an integrating...

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1 1. [6 marks] Solve using an integrating factor: ) , 0 ( cos 2 2 x x x y x dx dy
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2 2. [7 marks] Determine the value of b that makes the equation exact, then solve the equation using that value of b : 0 ) ( ) ( 2 2 dy bxe dx x ye xy xy
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3 3. [5 marks] a) Determine whether these functions are linearly independent on (– , ): 2 2 3 2 3 2 2 1 ) ( ) ( ) ( x f x x f x x f b) (Circle all that apply) A set of linearly independent functions does not form a fundamental solution set for ࢔࢚ࢎ order differential equation if a. there are solutions in this set. b. there are less than solutions in this set. c. all functions in this set are solutions to the differential equation. d. some functions are not solutions to the differential equation. e. None of the above
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4 4. [5 marks] Write the general solution for each equation. a) 0 2 4 y y y Solution: _____________________________________________ b) 0 2 1 3 2 y D D ) )( ( Solution:_____________________________________________________
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This note was uploaded on 11/10/2010 for the course DEFFERENTI 2080 taught by Professor Kidnan during the Spring '10 term at UOIT.

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midtermsolution - 1 1. [6 marks] Solve using an integrating...

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