t2(corrected)_ode_90052_20110622wed_s11

# t2(corrected)_ode_90052_20110622wed_s11 - TALLAHASSEE...

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t2(corrected)_ode_90052_ 20110622wed_s11.docx , 6/22/2011 5:48 PM, page 1 of 1. TALLAHASSEE COMMUNITY COLLEGE MAP 2302-90052 // [email protected] // SUMMER’11 LAST ____________________ TEST #2 (corrected) // ZILL’s CLASSIC 5 -th ed. §4.1.1, 4.1.2, 4.1.3, and §4.2, plus CARRY-OVER. Test Day: TUESDAY, JUNE 14, 2011 FIRST ___________________ INSTRUCTOR: D. Jones INSTRUCTIONS : SEE THE INSTRUCTION PAGE. #1. [14 pts] Determine whether these functions are LD (Linearly Dependent) or LI (Linearly Independent. Show your work. Do not use the Wronskian.       2 2 1 2 3 2 4 f x x , f x x x , f x x ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #2. [ 14 pts] Given the ODE   3 4 0 y y y *  , verify that (a)   1 x y x e is a solution to   * and (b)   4 2 x y x e is a solution to   * . ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #3. [14 pts] Use the Wronskian to show that   1 x y x e and   4 2 x y x e are LI on x     . ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #4. [14 pts] Given that   2 7 1 2 x x x c e c e is the GenSol (General Solution) to 9 14 0 y y y  , find values for 1 c and 2 c which satisfy the initial conditions   0 2 and   0 1  
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