LEADER 02659nam 2200481 450 001 9910814734203321 005 20230126215710.0 010 $a1-60650-827-X 035 $a(CKB)3790000000058406 035 $a(OCoLC)918991606 035 $a(CaBNvSL)swl00405395 035 $a(MiAaPQ)EBC4624479 035 $a(Au-PeEL)EBL4624479 035 $a(CaPaEBR)ebr11090883 035 $a(OCoLC)958548117 035 $a(EXLCZ)993790000000058406 100 $a20190122d2015 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aDifferential equations $efirst and second order linear differential equations /$fSnehanshu Saha 210 1$aNew York, NY :$cMomentum Press,$d[2015] 210 4$dİ2015 215 $a1 online resource (112 pages) 300 $aCo-published with Cognella Academic Publishing. 320 $aIncludes bibliographical references (page 109) and index. 327 $a1. Definition of terms and review of linear algebra -- 1.1 Basic definitions -- 1.1.1 What is a differential equation? -- 1.1.2 Solution to a differential equation -- 1.1.3 Family of solutions -- 1.1.4 Direction fields -- 1.2 Some linear algebra -- 1.2.1 Matrices -- 1.2.2 Systems of linear equations -- 1.2.3 Matrix addition and subtraction and scalar product -- 1.2.4 Transpose of a matrix -- 1.2.5 Dot product and matrix multiplication -- 1.2.6 Determinants -- 1.2.7 The inverse of a square matrix -- 1.2.8 Matrix form of a system of linear equations -- 1.2.9 Linear dependence -- 1.2.10 Eigenvalues and Eigenvectors -- 1.2.11 Diagonalization -- 327 $a2. Linear first order differential equations -- 2.1 Linear first order DE -- 2.1.1 Bernoulli differential equation -- 2.2 Separable differential equations -- 2.3 Exact differential equations -- 2.4 Homogeneous differential equations -- 2.5 Existence and uniqueness -- 327 $a3. Homogeneous second order differential equations -- 3.1 Linear homogeneous DE -- 3.2 Linear independence and the Wronskian -- 3.2.1 Linear independence -- 3.2.2 The Wronskian -- 3.3 Solving ay" + by' + cy = g(x) -- 3.3.1 The method of undetermined coefficients -- 3.3.2 Variation of parameters -- 327 $aBibliography -- Index. 606 $aDifferential equations, Linear$xData processing 615 0$aDifferential equations, Linear$xData processing. 676 $a515.3540285 700 $aSaha$b Snehanshu$01154131 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814734203321 996 $aDifferential equations$93945298 997 $aUNINA