t1(corrected)_ode_90052_20110526thu_s11

T1(corrected_ode_90 - TALLAHASSEE COMMUNITY COLLEGE MAP 2302-90052 [email protected] SUMMER11 TEST#1 ZILLs CLASSIC 5-th 1.1 2.2 2.3 2.4 2.5 and 3.2 THURSDAY

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t1(corrected)_ode_90052_ 20110526thu_s11.docx , 6/1/2011 10:09 PM, page 1 of 1. TALLAHASSEE COMMUNITY COLLEGE MAP 2302-90052 // [email protected] // SUMMER’11 LAST ____________________ TEST #1 // ZILL’s CLASSIC 5-th: 1.1, 2.2, 2.3, 2.4, 2.5, and 3.2 THURSDAY, MAY 26, 2011 FIRST ___________________ INSTRUCTOR: D. Jones INSTRUCTIONS : SEE THE INSTRUCTION PAGE. #1/7. [14 pts] Solve using separation of variables.   53 dy xx dx   Assume that 5 x . Give an explicit solution. ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #2/7. [ 14 pts] This ODE is a homogeneous equation of degree 1. Use an appropriate substitution ( y ux ) to solve it. Give an implicit solution.   0 x y dx xdy . ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #3/7. [14 pts] The following equation is exact. You don’t need to verify exactness. Just solve the ODE using the techniques of §2.4 (exact equations).   3 3 2 30 x y dx xy dy . Give implicit solution. ````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````` #4/7. [14 pts] Solve the IVP (Initial Value Problem):     1 1 10 dy x y ln x, y dx Assume 0 x   . Give an explicit solution. `````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
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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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