02329nam 2219BKE001651 450000100120000000300230001200500090003500800410004408200110008507200400009602000150013610000190015126000540017025000110022430000150023552016740025024500720192465000400199665000270203665000440206319BKE001651StarLibrary Marc Built20180403201711 ||||| |||||||||||amh  a515.35 adifferential equations -- textbooks a0495108243 aDennis G. Zill bbelmont, ca: brooks cole, cengage learning c2009 a9th ed a362p, 29cm a1. introduction to differential equations --br // 1.1. definitions and terminology --br // 1.2. initial-value problems --br // 1.3. differential equations as mathematical models --br // chapter 1 in review --br // 2. first-order differential equations --br // 2.1. solution curves without a solution --br // 2.1.1. direction fields --br // 2.1.2. autonomous first-order des --br // 2.2. separable variables --br // 2.3. linear equations --br // 2.4. exact equations --br // 2.5. solutions by substitutions --br // 2.6. a numerical method --br // chapter 2 in review --br // 3. modeling with first-order differential equations --br // 3.1. linear models --br // 3.2. nonlinear models --br // 3.3. modeling with systems of first-order des --br // chapter 3 in review --br // 4. higher-order differential equations --br // 4.1. preliminary theory--linear equations --br // 4.1.1. initial-value and boundary-value problems --br // 4.1.2. homogeneous equations --br // 4.1.3. nonhomogeneous equations --br // 4.2. reduction of order --br // 4.3. homogeneous linear equations with constant coefficients --br // 4.4. undetermined coefficients--superposition approach --br // 4.5. undetermined coefficients--annihilator approach --br // 4.6. variation of parameters --br // 4.7. cauchy-euler equation --br // 4.8. solving systems of linear des by elimination --br // 4.9. nonlinear differential equations --br // chapter 4 in review --br // 5. modeling with higher-order differential equations --br // 5.1. linear models: initial-value problems --br // 5.1.1. spring mass systems: free undamped motion --br // 5.1.2. spring mass systems: free damped motion --br // 5.1.3. sprin aA first course in differential equations with modeling applications adifferential equations -- textbooks adifferential equations anew mathematics & statistics at shields