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Section
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Page
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Suggested Problems
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1.1 Background
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5
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1, 2*, 5, 7, 8*, 9, 15
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1.2 Solutions and Initial Value Problems
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14
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1, 4, 5, 9, 11, 12*, 15, 22*, 23, 24, 27
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1.3 Direction Fields
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22
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3, 5, 6, 7, 11, 12*, 13
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2.2 Separable Equations
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46
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3, 5, 9, 11, 15, 19, 23, 34*, 35; Handout (Newton's Law of Cooling) problem #2*;
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2.3 Linear Equations
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54
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1, 5, 7, 11, 15, 17, 21, 25 (a)
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2.4 Exact Equations
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65
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1, 3, 9, 11, 15, 19, 21, 25
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3.2 Compartmental Analysis I: Population Models; Radioactive Decay
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104
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9, 14*, 23, 25*, Handout (Logistic equation) problem #1*
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3.2 Compartmental Analysis II: Mixing Problems
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104
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1, 2*, 3, 4*
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3.2 Compartmental Analysis III: Other Problems
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106
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21; Handout (Applied Examples) #2*.
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3.4 Newtonian Mechanics
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121
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1, 5*, 18, 19*, 25
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4.2 Homogeneous Linear Equations: The General Solution
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176
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1, 3, 13, 15, 16, 19, 21, 23, 27, 29, 31
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4.3 Auxiliary Equations With Complex Roots
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186
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3, 5, 9, 13, 15, 21, 23, 25
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4.4 Nonhomogeneous Equations: The Method of Undetermined Coefficients
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195
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1, 3, 5, 7, 9, 11*, 13, 17, 18*, 21*, 23, 27, 28*, 29, 31
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4.9 A Closer Look at Free Mechanical Vibrations
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238
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1, 2*, 3, 5
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5.2 Elimination Method for Systems with Constant Coefficients
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270
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1, 5, 7*, 9, 13, 19, 31*, 33
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7.2 Definition of the Laplace Transform
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385
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1, 3, 5, 7, 9, 13, 15, 16*, 17, 19, 23
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7.3 Properties of the Laplace Transform
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391
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1, 3, 5, 9, 10*, 13, 14*, 17, 21, 23, 25
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7.4 Inverse Laplace Transform
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402
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1, 5, 9, 15, 21, 23, 25, 29
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7.5 Solving Initial Value Problems
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409
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1, 5, 7, 9, 11, 15, 25, 35.
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7.6 Transforms of Discontinuous and Periodic Functions
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421
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1, 3, 5, 7, 11, 15, 21, 23, 25, 27, 29, 31, 39
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