MATH 107 Fall 2013 Practice Midterm 1 Solutions - PRACTICE EXAM I YI LI 1 Solve the dierential equation dy = e3x y 2 dx Proof dividing by y 2 on both

MATH 107 Fall 2013 Practice Midterm 1 Solutions - PRACTICE...

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PRACTICE EXAM I YI LI 1.Solve the differential equationdydx=e-3xy2. 2.(a) Use partial fractions to show thatZduu2-a2=12alnu-au+a+Cwherea >0.(b) Solve the differential equationdydx=y2-4that passes through (0,4).Proof.Write1Au-a+Bu+a. 1
2 YI LI

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