Differential Equations and Multivariable Calculus (20BT1BS01)

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 Method of variation of parameters

label_important 1.8 Cauchy's Differential Equations

label_important 1.9 Legendre Differential Equations

label_important 1.10 Applications to Electric R-L-C circuits

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 Solutions of standard first order partial differential equations

label_important 2.4 First Order Linear Lagrange Equation

label_important 2.5 Higher Order Partial Differential Equation

label_important 2.6 Complementary Function for a Non-homogenous Linear Equation

label_important 4.1 Double Integral

label_important4.2 Triple Integral

label_important 4.3 Change of Order of Integration

label_important 4.4 Change of Variables (Double Integral)

label_important 4.5 Change of Variables (Triple Integral)

label_important 4.6 Application of Double Integral (Area)

label_important 5.1 Gradient

label_important5.2 Directional Derivatives

label_important 5.3 Divergence & Curl

label_important 5.4 Solenoidal & Irrotational

label_important 5.5 Line Integral

label_important 5.6 Surface Integral

label_important 5.7 Volume Integral

label_important 5.8 Greens Theorem

label_important 5.9 Gauss divergence Theorem

label_important 5.10 Stokes Theorem