Math 250, Section 3: Homework assignments

 HW Problems Due Date 1 1.3 #2, 5, 6, 12, 17, 20; 1.1 #3, 7, 9, 15, 18, 20; 2.1 #12, 13, 15, 18 Jan. 22 2 2.1 #22(b)(c), 25(b)(c), 30; 2.2 #2, 4, 5, 6, 21, 27; do (a)(c) for #9,11,13,18; 1.2 # 19 Jan. 29 3 2.3 #3, 4, 8, 9, 11, 23, 28,  2.4 # 2, 4, 6, 7, 9, 12, 15 Feb. 5 4 2.5 #2,3,9,12 and find inflection points of y; 3.1 For #10, 11, 12, 13, 15: (1) find general solution, (2) solve the initial value problem, (3) describe the behavior of y as t goes to infinity; #17, 21; 3.2 # 9, 11, 17, 27 Feb. 12 5 3.3. #2, 4, 7, 9, 13, 18, 21, 3.4 #7, 12, 18, 19, 20, 24, 25, 26 Feb. 19 6 3.5. #1, 2, 3, 5, 8, 11, 18, 23, 25, 27, 28, 3.7 #1, 2, 5, 10, 26 Suppose Y_1 and Y_2 are two solutions to the nonhomog. d.e. y"+p(t)y'+q(t)y = g(t), where g(t) is not zero. Is c_1Y_1+c_2Y_2 also a solution for any constants c_1 and c_2? If not, when is it a solution? Give reasons. March 5 7 3.7 #19, 4.1 #2, 5, 8, 9, 17; 4.2 #11, 12, 18, 20, 23, 29, 37; 6.1 #5, 6, 7, 8 March 19 8 6.2. #2, 3, 5, 8, 9, 11, 16, 21, 23 March 24 9 6.3. #7, 8, 9, 10, 11, 13, 14, 15, 17, 18, 24, 25; 6.4. #1, 2, 4 Apr. 2 10 6.4. #6, 9, 10, 6.5. #2, 3, 5, 10, 13(a), 7.1 #2, 5, 8, 10, 11 Apr. 9 11 7.3. #16, 18 7.5 #4, 5, 15 For 7.5 : # 24, 25, 27: (1) find gen'l sol'ns (2) draw phase portrait, (3) classify the origin and determine the stability of the system. Do the same for 7.6 #2, 3, 4. April 16 12 7.6 For #5, 6: (1) find the gen'l sol'n, (2) draw phase portrait, (3) classify the origin and determine the stability of the system. Do the same for 7.8, # 1, 3, 7; 7.7 #5,6,7; 8.1 #3 (a),(c), 18. April 23