000			02682cam a2200265 a 4500
001			15674992
003			OSt
005			20230802133310.0
008			090326s2008 njua b 001 0 eng
020			_a9780136004387
020			_a0136004385
040			_aBUL _cBUL _dBUL _bENG _eRDA
082	0	0	_a515.35004 _222 _bEDW
100	1		_aEdwards, C. Henry
245	1	0	_aDifferential equations : _cComputing and modeling / _bC. Henry Edwards, David E. Penney ; with assistance of David Calvis.
250			_a4th edition
260			_aNew Jersey : _bPearson Prentice Hall, _cc2008.
300			_axii, 575 p. : _bill. (some col.) ; _c27 cm.
500			_a CONTENT Chapter 1 First Order differential equations 1.1 Differential equations and mathematical models 1.2 Integrals as general and particular solutions 1.3 Slope fields and solution curves 1.4 Separable equations and applications 1.5 Linear first-order equations etc. Chapter 2 Mathematical models and numerical methods 2.1 Population models 2.2 Equilibrium solutions and stability 2.3 Acceleration velocity 2.4 Numerical approximation: Euler's method 2.5 A closer look at the Euler method etc. Chapter 3 Linear equations of higher order 3.1 Introduction: Second order linear equations 3.2 General solutions of linear equations 3.3 Homogeneous equations with constant coefficients 3.4 Mechanical vibrations 3.5 Nonhomogeneous equations and undetermined coefficient etc. Chapter 4 Introduction to systems of differential equations 4.1 First-order systems and applications 4.2 The method of elimination 4.3 Numerical methods for systems Chapter 5 Linear systems of differential equations 5.1 Matrices and linear systems 5.2 The Eigenvalue method for homogeneous systems 5.3 Second order systems and mechanical applications 5.4 Multiple Eigenvalue solutions 5.5 Matrix exponentials and linear systems etc. Chapter 6 Nonlinear systems and phenomena 6.1 Stability and the phase plane 6.2 Linear and almost linear systems 6.3 Ecological models: Predators and competitors 6.4 Nonlinear mechanical systems 6.5 Chaos in dynamical systems Chapter 7 Laplace transform methods 7.1 Laplace transforms and inverse transforms 7.2 Transformation of initial value problems 7.3 Translation and partial fractions 7.4 Derivatives, integrals, and products of transforms 7.5 Periodic and piecewise continuous input functions 7.6 Impulses and delta functions
504			_aIndex : p. 571 - 575
650		0	_aDifferential equations.
700	1		_aPenney, David E.
700	1		_aCalvis, David.
942			_2ddc _cBOOK-CA _e4th edition _h515.35004 _i1 _kEDW. _m515.35004 EDW.
999			_c179 _d179