167 EXERCISES 4.2: Homogeneous Linear Equations The General Solution, page 167. 139 EXERCISES 3.7: Higher Order Numerical Methods: Taylor and Runge-Kutta, page 142 153 CHAPTER 4: Linear Second Order Equations 167 EXERCISES 4.1: Introduction: The Mass-Spring Oscillator, page 159. 137 EXERCISES 3.6: Improved Euler’s Method, page 132. 123 EXERCISES 3.5: Electrical Circuits, page 122. 116 EXERCISES 3.4: Newtonian Mechanics, page 115. 103 EXERCISES 3.3: Heating and Cooling of Buildings, page 107. 90 CHAPTER 3: Mathematical Models and Numerical Methods Involving First Order Equations 103 EXERCISES 3.2: Compartmental Analysis, page 98. 72 EXERCISES 2.6: Substitutions and Transformations, page 78. 59 EXERCISES 2.5: Special Integrating Factors, page 71. ![]() 41 EXERCISES 2.4: Exact Equations, page 65. 27 EXERCISES 2.3: Linear Equations, page 54. ![]() 17 CHAPTER 2: First Order Differential Equations 27 EXERCISES 2.2: Separable Equations, page 46. 10 EXERCISES 1.4: The Approximation Method of Euler, page 28. ![]() 3 EXERCISES 1.3: Direction Fields, page 22. 1 EXERCISES 1.2: Solutions and Initial Value Problems, page 14. Contents CHAPTER 1: Introduction 1 EXERCISES 1.1: Background, page 5.
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