001: 19BKE001651
003: Starlibrary PMS 4.5
005: 20180403
020: ^a0495108243
066: ^aDe.A
072: ^adifferential equations -- textbooks
082: ^a515.35
100: ^aDennis G. Zill
240: ^aA first course in differential equations with modeling applications
245: ^aA first course in differential equations with modeling applications
260: ^abelmont, c ^b brooks cole, cengage learning ^c2009
300: ^b362p, 29cm
650: ^adifferential equations
650: ^anew mathematics & statistics at shields
520: ^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