000 04411nam a2200493Ii 4500
001 9781315144429
008 180727s2018 fluab ob 001 0 eng d
020 _a9781315144429
_q(e-book : PDF)
035 _a(OCoLC)1022736248
040 _aFlBoTFG
_cFlBoTFG
_erda
050 4 _aQA371.5.D37
_bS45 2018
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aMAT
_x007000
_2bisacsh
072 7 _aMAT
_x021000
_2bisacsh
072 7 _aUB
_2bicscc
082 0 4 _a515/.350285536
_223
100 1 _aShankar, P. Mohana,
_eauthor.
_913533
245 1 0 _aDifferential equations :
_ba problem solving approach based on MATLAB /
_cby P. Mohana Shankar.
250 _aFirst edition.
264 1 _aBoca Raton, FL :
_bCRC Press, an imprint of Taylor and Francis,
_c2018.
300 _a1 online resource (458 pages) :
_b231 illustrations
336 _atext
_2rdacontent
337 _acomputer
_2rdamedia
338 _aonline resource
_2rdacarrier
505 0 _aFirst Order Differential Equations -- Introduction -- D-field plots -- Methods of solving first order differential equations -- Additional examples on D-field plots -- Autonomous Differential Equations -- Summary -- Exercises -- -- Linear Second Order Differential Equations with constant Coefficients -- Introduction -- Homogeneous Differential Equations -- Non-homogeneous Differential Equations: Particular Solutions and Complete Solutions -- Summary -- Exercises -- -- Linear Higher Order Differential Equations with Constant Coefficients -- Introduction -- Homogeneous differential equations (n<5) -- Non-homogeneous Differential equations and Particular solutions (n<5) -- Additional methods of obtaining the solution and verification -- Higher order differential equations (n>4) -- Examples -- Summary -- Exercises -- -- First order coupled differential equations with constant coefficients -- Introduction -- A pair of coupled differential equations -- Multiple first order coupled differential equations of constant coefficients -- Numerical Solutions -- Examples -- Summary -- Exercises.
520 3 _aThe book takes a problem solving approach in presenting the topic of differential equations. It provides a complete narrative of differential equations showing the theoretical aspects of the problem (the how's and why's), various steps in arriving at solutions, multiple ways of obtaining solutions and comparison of solutions. A large number of comprehensive examples are provided to show depth and breadth and these are presented in a manner very similar to the instructor's class room work. The examples contain solutions from Laplace transform based approaches alongside the solutions based on eigenvalues and eigenvectors and characteristic equations. The verification of the results in examples is additionally provided using Runge-Kutta offering a holistic means to interpret and understand the solutions. Wherever necessary, phase plots are provided to support the analytical results. All the examples are worked out using MATLABĀ® taking advantage of the Symbolic Toolbox and LaTex for displaying equations. With the subject matter being presented through these descriptive examples, students will find it easy to grasp the concepts. A large number of exercises have been provided in each chapter to allow instructors and students to explore various aspects of differential equations.
650 0 _aComputational Numerical Analysis.
_913534
650 0 _aDifferential Equations.
_913535
650 0 _aMathematics & Statistics for Engineers.
_913370
650 7 _aMATHEMATICS / Calculus.
_2bisacsh
_95469
650 7 _aMATHEMATICS / Mathematical Analysis.
_2bisacsh
_95470
650 7 _aMATHEMATICS / Differential Equations.
_2bisacsh
_911294
650 7 _aMATHEMATICS / Number Systems.
_2bisacsh
_913536
650 0 _aDifferential Equations And Matlab.
_913537
650 0 _aEquilibrium And Differential Equations.
_913538
650 0 _aMatlab Based Solutions For Differential Equations.
_913539
650 0 _aStability And Differential Equations.
_913540
650 0 _aSymbolic Toolbox Based Solutions To Differential Equations.
_913541
650 0 _aDifferential equations
_xNumerical solutions
_xData processing.
_913542
710 2 _aTaylor and Francis.
_910719
776 0 8 _iPrint version:
_z9781138501607
_w(DLC) 2017057524
856 4 0 _uhttps://www.taylorfrancis.com/books/9781315144429
_zClick here to view.
942 _cEBK
999 _c70470
_d70470