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Sl.No Chapter Name English
1Lecture 01 - Introduction to Ordinary Differential Equations (ODE)Download
Verified
2Lecture 02 - Methods for First Order ODE's - Homogeneous EquationsDownload
Verified
3Lecture 03 - Methods for First order ODE's - Exact EquationsDownload
Verified
4Lecture 04 - Methods for First Order ODE's - Exact Equations ( Continued )Download
Verified
5Lecture 05 - Methods for First order ODE's - Reducible to Exact EquationsDownload
Verified
6Lecture 06 - Methods for First order ODE's - Reducible to Exact Equations ( Continued )Download
Verified
7Lecture 07 - Non-Exact Equations - Finding Integrating FactorsDownload
Verified
8Lecture 08 - Linear First Order ODE and Bernoulli's EquationDownload
Verified
9Lecture 09 - Introduction to Second order ODE'sDownload
Verified
10Lecture 10 - Properties of solutions of second order homogeneous ODE's Download
Verified
11Lecture 11 - Abel's formula to find the other solutionDownload
Verified
12Lecture 12 - Abel's formula - DemonstrstionDownload
Verified
13Lecture 13 - Second Order ODE's with constant coefficientsDownload
Verified
14Lecture 14 - Euler - Cauchy equationDownload
Verified
15Lecture 15 - Non homogeneous ODEs Variation of ParametersDownload
Verified
16Lecture 16 - Method of undetermined coefficientsDownload
Verified
17Lecture 17 - Demonstration of Method of undetermined coefficientsDownload
Verified
18Lecture 18 - Power Series and its propertiesDownload
Verified
19Lecture 19 - Power Series Solutions to Second Order ODE'sDownload
Verified
20Lecture 20 - Power Series Solutions ( Continued )Download
Verified
21Lecture 21 - Legendre Differential EquationDownload
Verified
22Legendre PolynomialsDownload
Verified
23Properties of Legendre PolynomialsDownload
Verified
24Power series solutions around a regular singular pointDownload
Verified
25Frobenius method of solutionsDownload
Verified
26Frobenius method of solutions (continued)Download
Verified
27Examples on Frobenius methodDownload
Verified
28Bessel differential equationDownload
Verified
29Frobenius solutions for Bessel EquationDownload
Verified
30Properties of Bessel functionsDownload
Verified
31Properties of Bessel functions (continued)Download
Verified
32Introduction to Sturm-Liouville theoryDownload
Verified
33Sturm-Liouville ProblemsDownload
Verified
34Regular Sturm-Liouville problemDownload
Verified
35Periodic and singular Sturm-Liouville ProblemsDownload
Verified
36Generalized Fourier seriesDownload
Verified
37Examples of Sturm-Liouville systemsDownload
Verified
38Examples of Sturm-Liouville systems (continued)Download
Verified
39Examples of regular Sturm-Liouville systemsDownload
Verified
40Second order linear PDEsDownload
Verified
41Classification of second order linear PDEsDownload
Verified
42Reduction to canonical form for equations with constant coefficientsDownload
Verified
43Reduction to canonical form for equations with variable coefficientsDownload
Verified
44Reduction to Normal form-More examplesDownload
Verified
45D'Alembert solution for wave equationDownload
Verified
46Uniqueness of solutions for wave equationDownload
Verified
47Vibration of a semi-infinite stringDownload
Verified
48Vibration of a finite stringDownload
Verified
49Finite length string vibrationsDownload
Verified
50Finite length string vibrations (continued)Download
Verified
51Non-homogeneous wave equationDownload
Verified
52Vibration of a circular drumDownload
Verified
53Solutions of heat equation-PropertiesDownload
Verified
54Temperature in an infinite rodDownload
Verified
55Temperature in a semi-infinite rodDownload
Verified
56Non-homogeneous heat equationDownload
Verified
57Temperature in a finite rodDownload
Verified
58Temperature in a finite rod with insulated endsDownload
Verified
59Laplace equation over a rectangleDownload
Verified
60Laplace equation over a rectangle with flux boundary conditionsDownload
Verified
61Laplace equation over circular domainsDownload
Verified
62Laplace equation over circular SectorsDownload
Verified
63Uniqueness of the boundary value problems for Laplace equationDownload
Verified
64ConclusionsDownload
Verified
Sl.No Chapter Name Tamil
1Lecture 01 - Introduction to Ordinary Differential Equations (ODE)Download
2Lecture 02 - Methods for First Order ODE's - Homogeneous EquationsDownload
3Lecture 03 - Methods for First order ODE's - Exact EquationsDownload
4Lecture 04 - Methods for First Order ODE's - Exact Equations ( Continued )Download
5Lecture 05 - Methods for First order ODE's - Reducible to Exact EquationsDownload
6Lecture 06 - Methods for First order ODE's - Reducible to Exact Equations ( Continued )Download
7Lecture 07 - Non-Exact Equations - Finding Integrating FactorsDownload
8Lecture 08 - Linear First Order ODE and Bernoulli's EquationDownload
9Lecture 09 - Introduction to Second order ODE'sDownload
10Lecture 10 - Properties of solutions of second order homogeneous ODE's Download
11Lecture 11 - Abel's formula to find the other solutionDownload
12Lecture 12 - Abel's formula - DemonstrstionDownload
13Lecture 13 - Second Order ODE's with constant coefficientsDownload
14Lecture 14 - Euler - Cauchy equationDownload
15Lecture 15 - Non homogeneous ODEs Variation of ParametersDownload
16Lecture 16 - Method of undetermined coefficientsDownload
17Lecture 17 - Demonstration of Method of undetermined coefficientsDownload
18Lecture 18 - Power Series and its propertiesDownload
19Lecture 19 - Power Series Solutions to Second Order ODE'sDownload
20Lecture 20 - Power Series Solutions ( Continued )Download
21Lecture 21 - Legendre Differential EquationDownload
22Legendre PolynomialsDownload
23Properties of Legendre PolynomialsDownload
24Power series solutions around a regular singular pointDownload
25Frobenius method of solutionsDownload
26Frobenius method of solutions (continued)Download
27Examples on Frobenius methodDownload
28Bessel differential equationDownload
29Frobenius solutions for Bessel EquationDownload
30Properties of Bessel functionsDownload
31Properties of Bessel functions (continued)Download
32Introduction to Sturm-Liouville theoryDownload
33Sturm-Liouville ProblemsDownload
34Regular Sturm-Liouville problemDownload
35Periodic and singular Sturm-Liouville ProblemsDownload
36Generalized Fourier seriesDownload
37Examples of Sturm-Liouville systemsDownload
38Examples of Sturm-Liouville systems (continued)Download
39Examples of regular Sturm-Liouville systemsDownload
40Second order linear PDEsDownload
41Classification of second order linear PDEsDownload
42Reduction to canonical form for equations with constant coefficientsDownload
43Reduction to canonical form for equations with variable coefficientsDownload
44Reduction to Normal form-More examplesDownload
45D'Alembert solution for wave equationDownload
46Uniqueness of solutions for wave equationDownload
47Vibration of a semi-infinite stringDownload
48Vibration of a finite stringDownload
49Finite length string vibrationsDownload
50Finite length string vibrations (continued)Download
51Non-homogeneous wave equationDownload
52Vibration of a circular drumDownload
53Solutions of heat equation-PropertiesDownload
54Temperature in an infinite rodDownload
55Temperature in a semi-infinite rodDownload
56Non-homogeneous heat equationDownload
57Temperature in a finite rodDownload
58Temperature in a finite rod with insulated endsDownload
59Laplace equation over a rectangleDownload
60Laplace equation over a rectangle with flux boundary conditionsDownload
61Laplace equation over circular domainsDownload
62Laplace equation over circular SectorsDownload
63Uniqueness of the boundary value problems for Laplace equationDownload
64ConclusionsDownload


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