

- #SUPERPOSITION PRINCIPLE FOR LINEAR HOMOGENEOUS EQUATIONS OFFLINE#
- #SUPERPOSITION PRINCIPLE FOR LINEAR HOMOGENEOUS EQUATIONS SERIES#
Įligibility Criteria for JEE Main Paper 2 For reserved category candidates, the minimum percentage required for admissions in NITs, IIITs, and GFTIs is 65%.

The students will have to mark their responses on already downloaded answer sheets.
#SUPERPOSITION PRINCIPLE FOR LINEAR HOMOGENEOUS EQUATIONS OFFLINE#
Exam Mode: Computer-based offline exam.For every correct answer, four marks are awarded, while one mark is deducted for every incorrect answer.

The exam duration for both the papers is 3 hours. WEEK-17: The Bessel, Modified Bessel, Legendre and Hermite equations and their solutions.Paper 1 and Paper 2 (Maths and aptitude test) are entirely computer-based online test whereas drawing test is conducted offline.
#SUPERPOSITION PRINCIPLE FOR LINEAR HOMOGENEOUS EQUATIONS SERIES#
WEEK-16: Frobenius theorem, Existence of Frobenius series solutions, solutions about singular points WEEK-15: Series Solutions: Power series, ordinary and singular points, types of singular points ,Existence of power series solutions WEEK-14: regular and singular S-L problems, properties ofregular S-L problems WEEK-13: eigen values and eigen functions, Sturm-Liouville (S-L) boundary value problems, regular and singular S-L problems, properties ofregular S-L problems Sturm-Liouville problems: Introduction to eigen value problem, adjoint and self adjoint operators Self adjoint differential equations, WEEK-11: Nonhomogeneous equations, undetermined coefficients method, variation of parameters, Cauchy-Euler equation WEEK-10: Superposition principle, homogeneous equations with constant coefficients, Linear independence and Wronskian WEEK-8: Initial value and boundary value problems, Homogeneous and non-homogeneous equations. WEEK-7: Basic Homogeneous linear system Non homogeneous linear system,Second and higher order linear differential equations WEEK-6: Modeling with first-order ODEs, Basic theory of systems of first order linear equations Homogeneous linear system with constant coefficients. WEEK-5: Linear equations, integrating factors Some nonlinear first order equations with known solution, differential equations of Bernoulli and Ricati type,Clairaut equation

WEEK-4: Separable variables, Exact Equations, Homogeneous Equations. WEEK-3: First order ordinary differential equations: Basic concepts, formation and solution of differential equations WEEK-2: Existence and uniqueness of solutions, Introduction of initial value and boundary value problems WEEK-1: Preliminaries: Introduction and formulation, classification of differential equations Existence
