Modules / Lectures


Sl.No Chapter Name MP4 Download
1Introduction to differential equations-IDownload
2Introduction to differential equations-IIDownload
3 Existence and uniqueness of solutions of differential equations-IDownload
4 Existence and uniqueness of solutions of differential equations-IIDownload
5Existence and uniqueness of solutions of differential equations-IIIDownload
6Existence and uniqueness of solutions of a system of differential equationsDownload
7Linear SystemDownload
8Properties of Homogeneous SystemsDownload
9Solution of Homogeneous Linear System with Constant Coefficients-IDownload
10Solution of Homogeneous Linear System with Constant Coefficients-II Download
11Solution of Homogeneous Linear System with Constant Coefficients-IIIDownload
12Solution of Non-Homogeneous Linear System with Constant Coefficients Download
13Power SeriesDownload
14Uniform Convergence of Power Series Download
15Power Series Solution of Second Order Homogeneous Equations Download
16Regular singular points-IDownload
17Regular singular points-IIDownload
18Regular singular points-IIIDownload
19Regular singular points-IVDownload
20Regular singular points-V Download
21Critical pointsDownload
22Stability of Linear Systems-IDownload
23Stability of Linear Systems-II Download
24Stability of Linear Systems-IIIDownload
25Critical Points and Paths of Non-linear SystemsDownload
26Boundary value problems for second order differential equations Download
27Self - adjoint FormsDownload
28Sturm –Liouville problem and its propertiesDownload
29Sturm –Liouville problem and its applicationsDownload
30Green’s function and its applications-IDownload
31Green’s function and its applications-IIDownload
32Origins and Classification of First Order PDEDownload
33Initial Value Problem for Quasi-linear First Order Equations Download
34Existence and Uniqueness of Solutions Download
35Surfaces orthogonal to a given system of surfacesDownload
36Nonlinear PDE of first orderDownload
37Cauchy method of characteristics-I Download
38Cauchy method of characteristics-IIDownload
39Compatible systems of first order equationsDownload
40Charpit’s method-IDownload
41Charpit’s method-IIDownload
42Second Order PDE with Variable CoefficientsDownload
43Classification and Canonical Form of Second Order PDE-I Download
44Classification and Canonical Form of Second Order PDE-II Download
45Classification and Characteristic Curves of Second Order PDEs Download
46Review of Integral Transforms-I Download
47Review of Integral Transforms-IIDownload
48Review of Integral Transforms-III Download
49Laplace Equation-IDownload
50Laplace Equation-IIDownload
51Laplace Equation-IIIDownload
52Laplace and Poisson EquationsDownload
53One dimensional wave equation and its solution-I Download
54One dimensional wave equation and its solution-II Download
55One dimensional wave equation and its solution-IIIDownload
56Two dimensional wave equation and its solution-IDownload
57Solution of non-homogeneous wave equation Download
58Solution of homogeneous diffusion equation-IDownload
59Solution of homogeneous diffusion equation-IIDownload
60Duhamel’s principleDownload

Sl.No Chapter Name English
1Introduction to differential equations-IDownload
Verified
2Introduction to differential equations-IIDownload
Verified
3 Existence and uniqueness of solutions of differential equations-IDownload
Verified
4 Existence and uniqueness of solutions of differential equations-IIDownload
Verified
5Existence and uniqueness of solutions of differential equations-IIIDownload
Verified
6Existence and uniqueness of solutions of a system of differential equationsDownload
Verified
7Linear SystemDownload
Verified
8Properties of Homogeneous SystemsDownload
Verified
9Solution of Homogeneous Linear System with Constant Coefficients-IDownload
Verified
10Solution of Homogeneous Linear System with Constant Coefficients-II Download
Verified
11Solution of Homogeneous Linear System with Constant Coefficients-IIIDownload
Verified
12Solution of Non-Homogeneous Linear System with Constant Coefficients Download
Verified
13Power SeriesDownload
Verified
14Uniform Convergence of Power Series Download
Verified
15Power Series Solution of Second Order Homogeneous Equations Download
Verified
16Regular singular points-IDownload
Verified
17Regular singular points-IIDownload
Verified
18Regular singular points-IIIDownload
Verified
19Regular singular points-IVDownload
Verified
20Regular singular points-V Download
Verified
21Critical pointsDownload
Verified
22Stability of Linear Systems-IDownload
Verified
23Stability of Linear Systems-II Download
Verified
24Stability of Linear Systems-IIIDownload
Verified
25Critical Points and Paths of Non-linear SystemsDownload
Verified
26Boundary value problems for second order differential equations Download
Verified
27Self - adjoint FormsDownload
Verified
28Sturm –Liouville problem and its propertiesDownload
Verified
29Sturm –Liouville problem and its applicationsDownload
Verified
30Green’s function and its applications-IDownload
Verified
31Green’s function and its applications-IIDownload
Verified
32Origins and Classification of First Order PDEDownload
Verified
33Initial Value Problem for Quasi-linear First Order Equations Download
Verified
34Existence and Uniqueness of Solutions Download
Verified
35Surfaces orthogonal to a given system of surfacesDownload
Verified
36Nonlinear PDE of first orderDownload
Verified
37Cauchy method of characteristics-I Download
Verified
38Cauchy method of characteristics-IIDownload
Verified
39Compatible systems of first order equationsDownload
Verified
40Charpit’s method-IDownload
Verified
41Charpit’s method-IIDownload
Verified
42Second Order PDE with Variable CoefficientsDownload
Verified
43Classification and Canonical Form of Second Order PDE-I Download
Verified
44Classification and Canonical Form of Second Order PDE-II Download
Verified
45Classification and Characteristic Curves of Second Order PDEs Download
Verified
46Review of Integral Transforms-I Download
Verified
47Review of Integral Transforms-IIDownload
Verified
48Review of Integral Transforms-III Download
Verified
49Laplace Equation-IDownload
Verified
50Laplace Equation-IIDownload
Verified
51Laplace Equation-IIIDownload
Verified
52Laplace and Poisson EquationsDownload
Verified
53One dimensional wave equation and its solution-I Download
Verified
54One dimensional wave equation and its solution-II Download
Verified
55One dimensional wave equation and its solution-IIIDownload
Verified
56Two dimensional wave equation and its solution-IDownload
Verified
57Solution of non-homogeneous wave equation Download
Verified
58Solution of homogeneous diffusion equation-IDownload
Verified
59Solution of homogeneous diffusion equation-IIDownload
Verified
60Duhamel’s principleDownload
Verified


Sl.No Language Book link
1EnglishDownload
2BengaliNot Available
3GujaratiNot Available
4HindiNot Available
5KannadaNot Available
6MalayalamNot Available
7MarathiNot Available
8TamilNot Available
9TeluguNot Available