Math
210
Homework
Assignments
From:
Zill, A first course in Differential Equations with Modeling Applications. 10th
Edition.
Once
a homework is assigned (announced in class), it is due on the following class
session – Work all odd problems when a range is given, unless otherwise
specified.
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ANSWERS TO ODD
NUMBERED PROBLEMS |
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Book section and problem numbers: |
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Intro to Differential Equations |
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Integration Techniques Review (HW) 1.1: Definitions and Terminology (Click
here for Exercise pages) 1-10(all), 11-17(odds), 23-37(odds), 41,
42, 47. 1.2: Initial Value Problems (Click
here for Exercise pages) 1-9(odds), 13, 15, 19, 20, 21-27(odds), 31, 39, 45, 47. |
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First
Order Differential Equations |
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2.1: Solution Curves For all these: answer only the first question
(find critical points) 23-27(odds), 31. 2.2: Separable
Equations 3,
7, 12, 13, 19, 25, 29(give ans. In integral form), 33, 45, 49, 55. 2.3: Linear
Equations 3,
5, 13, 15(hint: solve for x(y) instead of
y(x)!), 21, 27, 31, 35(the
I.C. is: y(p/2)=1),
39, 41, 43, 53. 2.4: Exact
Equations 1,
5, 9,13, 18, 23, 25, 27, 29, 33, 35, 37, 45. 2.5: Solutions
by Substitutions 3,7,
11, 13, 17, 21, 27, 29(note: y(0)=p/4), 37. |
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Higher
Order Differential Equations |
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Note about the texts of the
problems in this chapter: If an interval contains a blank,
ex:(2, ), the
blank is likely to be ∞ 4.1: Linear Equations 3, 9, 13, 15,17,20, 25, 29, 31, 33, 36. 4.2: Reduction of Order 1, 3, 5, 11, 13, 17, 19, 20. 4.3: Homogeneous Linear with Constant
Coefficients 1, 3, 9, 11, 17, 23, 29, 35, 37, 39, 49, 55, 57. 4.4: Undetermined Coefficients:
Superposition Method 3, 7, 11, 15, 17, 21, 25, 27, 29, 31, 35,
38. 4.6: Variation of Parameters 3, 11, 13, 15, 19, 23, 27. 4.7: Cauchy-Euler Equation 5, 7, 11, 17 (use either methods: reduction
to constant coeff. Or auxiliary eq.) 25, 27 (no need to graph) 33, 35. 4.9:
Systems of Linear Differential Equations 3,
9, 13, 21. |
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