Differential Midterm_2008_solution

Differential Midterm_2008_solution - MATH2860U Midterm...

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MATH2860U Midterm October, 2008 2 1. (4 marks each; total 12 marks) Answer each question in the space provided. You MUST show all of your work. a) Consider the following linear first-order differential equation: 3 sin 3 x y y x = . What is the appropriate integrating factor to help solve this equation? (Just find the integrating factor, but do NOT actually solve the equation). b) Find all values of m so that m x is a solution of the differential equation 0 2 2 2 = + y y x y x c) Find the general solution of the differential equation 0 ) 16 )( 9 )( 1 ( 2 2 2 = + + y D D D .
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MATH2860U Midterm October, 2008 3 2. (7 marks) Find the general solution of the differential equation 0 1 2 ) 4 ( 4 2 3 = + + dx dy y y x e y x x
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MATH2860U Midterm October, 2008 4 3. (Total 12 marks) Write your final answer on the line provided. You do NOT have to show your work, but it is suggested for parts f and g (for part marks in case the final answer is wrong).
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Differential Midterm_2008_solution - MATH2860U Midterm...

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