Introductory Differential Equations using Sage - William Stein

More documents

Recommendations

Info

v There are some things which cannot be learned quickly, and time, which is all we have, must be paid heavily for their acquiring. They are the very simplest things, and because it takes a man’s life to know them the little new that each man gets from life is very costly and the only heritage he has to leave. Ernest Hemingway (From A. E. Hotchner, Papa Hemingway, Random House, NY, 1966)
Page 1: Introductory Differential Equations
Page 5 and 6: viii CONTENTS 2.5 Applications of D
Page 7 and 8: CONTENTS xi Preface The majority of
Page 9 and 10: CONTENTS 1 Acknowledgments In a few
Page 11 and 12: Chapter 1 First order differential
Page 13 and 14: 1.1. INTRODUCTION TO DES 5 phenomen
Page 15 and 16: 1.1. INTRODUCTION TO DES 7 DE indep
Page 17 and 18: 1.1. INTRODUCTION TO DES 9 Theorem
Page 19 and 20: 1.2. INITIAL VALUE PROBLEMS 11 usin
Page 21 and 22: 1.2. INITIAL VALUE PROBLEMS 13 Sage
Page 23 and 24: 1.2. INITIAL VALUE PROBLEMS 15 k1*e
Page 25 and 26: 1.3. EXISTENCE OF SOLUTIONS TO ODES
Page 31 and 32: 1.4. FIRST ORDER ODES - SEPARABLE A
Page 41 and 42: 1.5. ISOCLINES AND DIRECTION FIELDS
Page 43 and 44: 1.5. ISOCLINES AND DIRECTION FIELDS
Page 45 and 46: 1.6. NUMERICAL SOLUTIONS - EULER’
Page 51 and 52: 1.7. NUMERICAL SOLUTIONS II - RUNGE
Page 53 and 54:
1.7. NUMERICAL SOLUTIONS II - RUNGE
Page 55 and 56:
1.7. NUMERICAL SOLUTIONS II - RUNGE
Page 57 and 58:
1.8. NEWTONIAN MECHANICS 49 Example
Page 59 and 60:
1.8. NEWTONIAN MECHANICS 51 Sage sa
Page 61 and 62:
1.9. APPLICATION TO MIXING PROBLEMS
Page 63 and 64:
1.9. APPLICATION TO MIXING PROBLEMS
Page 65 and 66:
Chapter 2 Second order differential
Page 67 and 68:
2.1. LINEAR DIFFERENTIAL EQUATIONS
Page 69 and 70:
2.2. LINEAR DIFFERENTIAL EQUATIONS,
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
2.3. UNDETERMINED COEFFICIENTS METH
Page 77 and 78:
Page 79 and 80:
Page 81 and 82:
Page 83 and 84:
2.4. VARIATION OF PARAMETERS 75 2.4
Page 85 and 86:
2.4. VARIATION OF PARAMETERS 77 sol
Page 87 and 88:
2.5. APPLICATIONS OF DES: SPRING PR
Page 89 and 90:
Page 91 and 92:
Page 93 and 94:
Page 95 and 96:
2.6. APPLICATIONS TO SIMPLE LRC CIR
Page 97 and 98:
Page 99 and 100:
Page 101 and 102:
2.7. THE POWER SERIES METHOD 93 The
Page 103 and 104:
2.7. THE POWER SERIES METHOD 95 •
Page 105 and 106:
2.7. THE POWER SERIES METHOD 97 Exa
Page 107 and 108:
2.7. THE POWER SERIES METHOD 99 J 0
Page 109 and 110:
2.8. THE LAPLACE TRANSFORM METHOD 1
Page 111 and 112:
Page 113 and 114:
Page 115 and 116:
Page 117 and 118:
Page 119 and 120:
Page 121 and 122:
Page 123 and 124:
Page 125 and 126:
Chapter 3 Matrix theory and systems
Page 127 and 128:
3.1. ROW REDUCTION AND SOLVING SYST
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
3.2. QUICK SURVEY OF LINEAR ALGEBRA
Page 135 and 136:
Page 137 and 138:
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
3.3. APPLICATION: SOLVING SYSTEMS O
Page 145 and 146:
Page 147 and 148:
Page 149 and 150:
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
Page 157 and 158:
Page 159 and 160:
Page 161 and 162:
3.4. EIGENVALUE METHOD FOR SYSTEMS
Page 163 and 164:
Page 165 and 166:
Page 167 and 168:
Page 169 and 170:
Page 171 and 172:
3.5. INTRODUCTION TO VARIATION OF P
Page 173 and 174:
Page 175 and 176:
Page 177 and 178:
3.6. NONLINEAR SYSTEMS 169 3.6.1 Li
Page 179 and 180:
g ) L gsin( 3.6. NONLINEAR SYSTEMS
Page 181 and 182:
3.6. NONLINEAR SYSTEMS 173 20 y 10
Page 183 and 184:
Chapter 4 Introduction to partial d
Page 185 and 186:
4.1. INTRODUCTION TO SEPARATION OF
Page 187 and 188:
4.2. FOURIER SERIES, SINE SERIES, C
Page 189 and 190:
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
4.3. THE HEAT EQUATION 187 - Jean-B
Page 197 and 198:
4.3. THE HEAT EQUATION 189 Figure 4
Page 199 and 200:
4.3. THE HEAT EQUATION 191 sage: P1
Page 201 and 202:
4.3. THE HEAT EQUATION 193 X ′′
Page 203 and 204:
4.4. THE WAVE EQUATION IN ONE DIMEN
Page 205 and 206:
Page 207 and 208:
Page 209 and 210:
Bibliography [A-pde] Wikipedia arti
Page 211 and 212:
BIBLIOGRAPHY 203 [LA-sys] Lancheste
Page 213 and 214:
BIBLIOGRAPHY 205 [W-mech] General w
Page 215 and 216:
Chapter 5 Appendices 207
Page 217 and 218:
5.1. APPENDIX: INTEGRAL TABLE 209
Page 219 and 220:
Page 221 and 222:
show all

Introductory Differential Equations using Sage - William Stein

Create successful ePaper yourself

Delete template?

Save as template?