Differential Equations and Transforms (BMAT102L) Starter Pack

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 Applications to Electric R-L-C circuits

label_important 2.1 Formation of PDE's by elimination of arbitrary constants

label_important2.2 Formation of PDE's by elimination of arbitrary functions

label_important 2.3 Solutions of standard first order partial differential equations

label_important2.4 First Order Linear(Lagrange's) Equation

label_important2.5 Method of separation of variables

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 Periodic Functions

label_important3.5 Laplace Transform of Unit Step and Unit Impulse Functions

label_important 3.6 Inverse Laplace Transform

label_important3.7 Convolution Theorem