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Delhi University Notes

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(1.) Fourier series common formula, (2.) Dirichlet Conditions, (3.) Periodic function, (4.) Basic Properties of Definite Integrals, (5.) Fourier series general formula, (6.) Orthogonal Sets of Functions, (7.) Fourier series of Even and Odd Func...

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(1.) Classification of Differential Equations, (2.) Ordinary Differential Equations, (3.) First order ODEs : Separation of Variables, (4.) Exact DEs, (5.) Reducible to exact DEs, (6.) Necessary and Sufficient Conditions, (7.) Complete solution,...

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(1.) Concept of PDE : General and Particular solution, (2.) Separable DE, (3.) Reducible to Separable Form, (4.) Solution by Direct Integration, (5.) Solution by Separation of Variables, (6.) Linear first order PDE (Lagrange's Form), (7.) Group...

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series solution

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(1.) Concept of Singular Points, (2.) Frobenius Method, (3.) Symmetry of Solutions, (4.) Bessel's equation, (5.) Bessel's function of Second Kind of order n, (6.) Legendre Polynomial and Legendre Function, (7.) Leibnitz theorem, (8.) Rodrigue'...

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(1.) Kinetic Theory of Gases, (2.) Pressure exerted by a gas, (3.) Kinetic Energy, (4.) Gas laws, (5.) Molar heat capacity at constant volume, (6.) Molar heat capacity at constant pressure, (7.) Macroscopic point of view, (8.) Microscopic po...

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(1.) Zeroth Law of Thermodynamics, (2.) Change of State of a System, (3.) Equation of State, (4.) Quasi - static process, (5.) Work done in changing the Volume of a Hydrostatic System, (6.) P-V diagrams, (7.) Hydrostatic System, (8.) Adiabati...

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Concept of Heat

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(1.) Heat Reservoir, (2.) Heat Conduction, (3.) Heat Convection, (4.) Thermal Radiation, (5.) Blackbody, (6.) Ideal Gas Temperature, (7.) Joule Expansion, (8.) Joule Coefficient, (9.) Quasi-static adiabatic process for an Ideal gas, (10.) I...

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(1.) Diesel Engine full working, (2.) Steam Engine full working, (3.) Second Law of Thermodynamics, (4.) Refrigerator, (5.) Equivalence of Kelvin-Planck and Clausius Statement, (6.) Reversible and Irreversible Processes, (7.) Perpetual Motio...

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(1..) Concept of Beta Function, (2.) Important Properties of Beta Function, (3.) Concept of Gamma Function, (4.) Important Properties of gamma Function, (5.) Relationship between beta function and Gamma function

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