Differential Equations and Vector Calculus (20A54201)

label_important 1.1 Linear Differential Equations of Higher Order

label_important1.2 General solution of f(D)y = e^ax

label_important 1.3 General solution of f(D)y = cos ax or sin ax

label_important 1.4 General solution of f(D)y = x^m

label_important 1.5 General solution of f(D)y = e^ax . f(x)

label_important 1.6 General solution of f(D)y = x^m . f(x)

label_important 1.7 Simultaneous first order linear equations with constant coefficients

label_important 1.8 Method of variation of parameters

label_important 1.9 Cauchy's Differential Equations

label_important 2.1 Formation of PDE By eliminating the Arbitrary Constant

label_important2.2 Formation of PDE By eliminating the Arbitrary Function

label_important 2.3 First Order Linear Lagrange Equation

label_important 3.1 Classification of second order PDE

label_important3.2 Method of separation of variables

label_important 3.3 Solution of One dimensional wave equation

label_important 3.4 Solution of One dimensional heat equation

label_important 4.1 Gradient

label_important4.2 Directional Derivatives

label_important 4.3 Divergence & Curl

label_important 4.4 Solenoidal & Irrotational

label_important 5.1 Line Integral

label_important5.2 Surface Integral

label_important 5.3 Volume Integral

label_important 5.4 Greens Theorem

label_important 5.5 Gauss Divergence Theorem

label_important 5.6 Stoke's Theorem