Ordinary Differential Equations and Vector Calculus (MA201BS) Starter Pack

label_important 1.1 Exact Differential Equation

label_important1.2 Linear Differential Equation

label_important 1.3 Bernoulli's Equation

label_important 1.4 Orthogonal Trajectories

label_important 1.5 Newton's Law of cooling

label_important 1.6 Law of Natural Growth and Decay

label_important 2.1 Linear Differential Equations of Higher Order

label_important2.2 General solution of f(D)y = e^ax

label_important 2.3 General solution of f(D)y = cos ax or sin ax

label_important 2.4 General solution of f(D)y = x^m

label_important 2.5 General solution of f(D)y = e^ax . f(x)

label_important 2.6 General solution of f(D)y = x^m . f(x)

label_important 2.7 Method of variation of parameters

label_important 2.8 Legendre Differential Equations

label_important 2.9 Cauchy's Differential Equations

label_important 2.10 Applications to Electric R-L-C circuits

label_important 3.1 Laplace transform

label_important3.2 Laplace Transform of Some Standard Functions

label_important 3.3 First, Second Shifting Theorem and Change of Scale Property

label_important 3.4 Laplace Transform of Multiplication by 't' and Division by 't'

label_important 3.5 Laplace Transform of Derivatives and Integrals

label_important 3.6 Laplace Transform of Periodic Functions

label_important 3.7 Laplace Transform of Unit Step and Unit Impulse Functions

label_important 3.8 Initial and Final Value Theorems

label_important 3.9 Inverse Laplace Transform

label_important 3.10 First, Second Shifting Theorem and Change of Scale of Property

label_important 3.11 Inverse Laplace Transform of Derivatives

label_important 3.12 Multiplication by Power of ‘s’

label_important 3.13 Convolution theorem

label_important 3.14 Solving ordinary equations by Laplace transforms

label_important 4.1 Gradient

label_important4.2 Directional derivatives

label_important 4.3 Curl & Divergence

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 Stokes Theorem