Math 212                     Study Guide for Hour Quiz #2                     C.S.Davis

You are responsible for the subject matter from Zill and Cullen (sixth edition)  in sections 4.1 - 4.6. The following topics are notable in their importance.

3.1    Solve applications of linear DE's:            
            a.      growth and decay problems.   P98#1,4,5,10
            b.      carbon dating.   P98#11
            c.      Newton's law of cooling problems.   P98#13
            d.      mixture problems.   P98#19,25

         Find the orthogonal trajectory of a family of curves.   Handout

3.2    Solve applications of nonlinear DE's (logistics equation).   P108#2

4.3    For linear homogeneous DE's with constant coefficients (LHCC),
            a.      give the possible rational roots of polynomials with integer coefficients,
            b.      solve the auxiliary equation having real roots, complex roots and repeated roots,
            c.      give the general solution.
            P147#1,5,9,15,21-31odd,37,39,51 

4.4    Solve a linear nonhomogeneous DE with constant coefficients ( LNHCC) by the method 
of undetermined coefficients (UC).   P158#1,3,5,9,12,13,27

4.5    Construct annihilators for given functions using differential operators.   P166#1,3,7,11,13,15,17,21,25,27,29,33,35,49

4.2    Solve a LH or a LNH by the Reduction of Order method.  P141#1,3 (both by ROO); 17,19 (both by ROO and VOP)

4.6    Solve a LH or a LNH by the Variation of Parameters method.   P172#1(by VOP)

4.1    Apply theorems and definitions.   P137#5,9,12,15-23 odd