t3b_ode_90052_20110704MON_s11

t3b_ode_90052_20110704MON_s11 - TALLAHASSEE COMMUNITY...

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t3b_ode_90052_20110704mon_s11.docx, 7/4/2011 8:43 PM, page 1 of 1. TALLAHASSEE COMMUNITY COLLEGE MAP 2302-90052 // ODE@TCC // SUMMER’11 LAST ____________________ TEST #3B // ZILL’s CLASSIC 5-th ed. §4.3, 4.5, 4.6, 5.1 and §5.2, plus CARRY-OVERS. Test Day: TUESDAY, JULY 5, 2011 FIRST ___________________ INSTRUCTOR: D. Jones INSTRUCTIONS : SEE THE INSTRUCTION PAGE. Throughout this test assume that 2 32 sec g ft . #1. [11 pts] Solve the IVP     2 0 4 dy x y sin x, y . dx Give an explicit solution. ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #2. [ 11 pts] Determine whether these functions are Linearly Dependent or Linearly Independent. Show your work. Do not use the Wronskian.       22 1 2 3 2 6 2 1 f x x , f x x x , f x x   ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #3. [11 pts] Solve using the “3-step method” [ (i) write the auxiliary equation; (ii) solve the auxiliary equation; (iii) write the general solution to the ODE. ] 4 5 0 y y y  ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #4. [11 pts] Use the “3-step method to find the general solution to 5 3 9 0 y y y y  ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #5. [11 pts] Find a differential operator that annihilates the function
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This note was uploaded on 12/30/2011 for the course MAP 2302 taught by Professor Jones during the Summer '11 term at Tallahassee Community College.

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