Subject and UNIT: Probability and complex function: Unit V: Ordinary Differential Equations
(a) General form of a linear differential equation of the nth order with constant coefficients is, (b) (i) The general form of the linear differential equation of second order is d2y / dx2 + P dy/ dx + Qy = R.
Introduction
Subject and UNIT: Probability and complex function: Unit V: Ordinary Differential Equations
An ordinary differential equation is an equation that contains one or several derivatives of an unknown function, which we will call y (x) and which we want to determine from the equation. The equation may also contain y itself as well as given functions and constants.
Problems with Answer
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
Probability and complex function: Unit IV: Complex integration : Exercise 4.4
Solved Example Problems
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
Probability and complex function: Unit IV: Complex integration : Problems based on contour integration
Example Solved Problems
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
Probability and complex function: Unit IV: Complex integration : Problems based on contour integration
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
The complex integration along the scro curve used in evaluating the definite integral is called contour integration.
Problems with Answer | Complex integration
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
Probability and complex function: Unit IV: Complex integration : Exercise 4.3.
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
Probability and complex function: Unit IV: Complex integration : Examples
Statement, Proof, Formula, Solved Example Problems
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
Probability and complex function: Unit IV: Complex integration : Cauchy's residue theorem
Complex integration
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
Probability and complex function: Unit IV: Complex integration : Examples
Complex integration
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
A point z = z0 at which a function f (z) fails to be analytic is called a singular point or singularity of f (z).
Solved Example Problems | Complex integration
Subject and UNIT: Probability and complex function: Unit IV: Complex integration
Probability and complex function: Unit IV: Complex integration : Problems based on singularities and residues