Section 15.1 # 1-10 (odd)
Section 15.2 # 1, 3, 5, 7, 9
Section 15.2 # 15, 17, 19, 25
Week 2:
Section 15.2 # 25
Section 12.3 # 3 - 16 (odd)
Section 12.3 # 17 - 33 (odd)
Week 3:
Section 15.3 # 1 - 13 (odd)
Section 15.3 # 15-16
Section 15.3 # 23, 25, 27
Week 4:
Section 15.4 # 5 - 19 (odd)
Section 15.5 # 1-17 (odd)
Section 15.5 # 21, 23
Section 15.5 # 29, 31, 33
Week 5:
Section 15.6 # 1 - 10 (odd)
Look at the additional examples here.. ("Examples using Variation of Parameters").
Week 6:
Homework on Cauchy-Euler Equations
1. Find the general solution of the equation
Answer: y = c1x2 + c2x2ln(x) + x + x2ln3(x)/6.
2. Find the general solution of the equation
Answer: y = c1x + c2x2 + (1/4) + {ln(x) + ln2(x)}/2.
3. Find the general solution of the equation
Answer: y = c1x cos(sqrt(3) ln(x)) + c2x sin(sqrt(3) ln(x)) + {x sin(ln(x))}/2 + { 3 cos(ln(x)) - 2 sin (ln(x)) }/13
1. Find the general solution of the equation
Answer:... y = y(x) = Cx + 3 C3
2. Solve the differential equation
1. Find the general solution of the 2 by 2 system of equations
5x + y' + 3y = t2 .........Please note the misprint here!
Answer: ... y = y(t) = c1 cos(t) + c2 sin(t) + 2 t2 - 3t - 4
x = x(t) = {c1 -3 c2} sin(t) / 5 - {3 c1 + c2} cos(t) / 5 - t2 + t + 3.
Week 7 was Reading Week .................
Week 8:
Sequences and series
Section 10.1 # 1 - 39 (odd)
Section 10.2 # 1 - 31 (odd)
Section 10.3 # 1 - 21 (odd)
Week 9:
Sequences and series
Section 10.3 # 25, 27
Remainders ...
Week 10:
Sequences and series
Section 10.4 # 1 - 31 (odd)
Section 10.5 # 1 - 19, 25, 27, 29 (odd)
Section 10.6 # 1 - 31 (odd)
NEW: Section 10.7 # 1 - 19 (odd)
Week 11:
Sequences and series
NEW: Section 10.8 # 3- 19 (odd)
Section 10.10 # 1, 3, 7, 9, 11 (odd)
Section 10.10 # 17-25 (odd)
Section 10.10 # 27, 29
Sequences and series
Section 10.11 # 1-9, (odd)
Section 15.8 # 1-11, (odd)