# Ordinary and Partial Differential Equations and Applications

- Institution: IIT Roorkee
- Department: Mathematics
- Teacher: Prof. P.N. Agrawal Prof. D. N Pandey
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111107111)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111107111)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to differential equations-I](https://invisiblenetwork.ai/learn/nptel/111107111/d7777a4bbdd6) (Video)
2. [Introduction to differential equations-II](https://invisiblenetwork.ai/learn/nptel/111107111/9befedac21bf) (Video)
3. [Existence and uniqueness of solutions of differential equations-I](https://invisiblenetwork.ai/learn/nptel/111107111/84673490f7cc) (Video)
4. [Existence and uniqueness of solutions of differential equations-II](https://invisiblenetwork.ai/learn/nptel/111107111/b81faca88756) (Video)
5. [Existence and uniqueness of solutions of differential equations-III](https://invisiblenetwork.ai/learn/nptel/111107111/ddd21d82f9e8) (Video)
6. [Existence and uniqueness of solutions of a system of differential equations](https://invisiblenetwork.ai/learn/nptel/111107111/a255912cb775) (Video)
7. [Linear System](https://invisiblenetwork.ai/learn/nptel/111107111/8eb83120948d) (Video)
8. [Properties of Homogeneous Systems](https://invisiblenetwork.ai/learn/nptel/111107111/6235a3d87477) (Video)
9. [Solution of Homogeneous Linear System with Constant Coefficients-I](https://invisiblenetwork.ai/learn/nptel/111107111/ddc0f84e29b7) (Video)
10. [Solution of Homogeneous Linear System with Constant Coefficients-II](https://invisiblenetwork.ai/learn/nptel/111107111/1486b3cffb1a) (Video)
11. [Solution of Homogeneous Linear System with Constant Coefficients-III](https://invisiblenetwork.ai/learn/nptel/111107111/9925b7f3cfc6) (Video)
12. [Solution of Non-Homogeneous Linear System with Constant Coefficients](https://invisiblenetwork.ai/learn/nptel/111107111/352104a0e555) (Video)
13. [Power Series](https://invisiblenetwork.ai/learn/nptel/111107111/20d0234b98be) (Video)
14. [Uniform Convergence of Power Series](https://invisiblenetwork.ai/learn/nptel/111107111/3630ed15645a) (Video)
15. [Power Series Solution of Second Order Homogeneous Equations](https://invisiblenetwork.ai/learn/nptel/111107111/114311ad66eb) (Video)
16. [Regular singular points-I](https://invisiblenetwork.ai/learn/nptel/111107111/15c1bcbced33) (Video)
17. [Regular singular points-II](https://invisiblenetwork.ai/learn/nptel/111107111/403a5e362cb1) (Video)
18. [Regular singular points-III](https://invisiblenetwork.ai/learn/nptel/111107111/f31579d55dd8) (Video)
19. [Regular singular points-IV](https://invisiblenetwork.ai/learn/nptel/111107111/22d9ee13a476) (Video)
20. [Regular singular points-V](https://invisiblenetwork.ai/learn/nptel/111107111/82f102bb6fc1) (Video)
21. [Critical points](https://invisiblenetwork.ai/learn/nptel/111107111/19a5f607b3ca) (Video)
22. [Stability of Linear Systems-I](https://invisiblenetwork.ai/learn/nptel/111107111/9426f50b6191) (Video)
23. [Stability of Linear Systems-II](https://invisiblenetwork.ai/learn/nptel/111107111/b245dea99c7c) (Video)
24. [Stability of Linear Systems-III](https://invisiblenetwork.ai/learn/nptel/111107111/a24f216f3231) (Video)
25. [Critical Points and Paths of Non-linear Systems](https://invisiblenetwork.ai/learn/nptel/111107111/e529dfec3808) (Video)
26. [Boundary value problems for second order differential equations](https://invisiblenetwork.ai/learn/nptel/111107111/b9573695f53d) (Video)
27. [Self - adjoint Forms](https://invisiblenetwork.ai/learn/nptel/111107111/88679472e825) (Video)
28. [Sturm -Liouville problem and its properties](https://invisiblenetwork.ai/learn/nptel/111107111/f0dc50a42c63) (Video)
29. [Sturm -Liouville problem and its applications](https://invisiblenetwork.ai/learn/nptel/111107111/45b3006ea620) (Video)
30. [Green's function and its applications-I](https://invisiblenetwork.ai/learn/nptel/111107111/9ba6d20e97ac) (Video)
31. [Green's function and its applications-II](https://invisiblenetwork.ai/learn/nptel/111107111/e72347eb3869) (Video)
32. [Origins and Classification of First Order PDE](https://invisiblenetwork.ai/learn/nptel/111107111/eb77233e11ae) (Video)
33. [Initial Value Problem for Quasi-linear First Order Equations](https://invisiblenetwork.ai/learn/nptel/111107111/61b03173edb5) (Video)
34. [Existence and Uniqueness of Solutions](https://invisiblenetwork.ai/learn/nptel/111107111/1d3e9e9b84b9) (Video)
35. [Surfaces orthogonal to a given system of surfaces](https://invisiblenetwork.ai/learn/nptel/111107111/463f4e4dcbf5) (Video)
36. [Nonlinear PDE of first order](https://invisiblenetwork.ai/learn/nptel/111107111/75f9709c30d8) (Video)
37. [Cauchy method of characteristics-I](https://invisiblenetwork.ai/learn/nptel/111107111/dd2d66e28e18) (Video)
38. [Cauchy method of characteristics-II](https://invisiblenetwork.ai/learn/nptel/111107111/bc0fa6627ebc) (Video)
39. [Compatible systems of first order equations](https://invisiblenetwork.ai/learn/nptel/111107111/3ab310f3515c) (Video)
40. [Charpit's method-I](https://invisiblenetwork.ai/learn/nptel/111107111/452c80348548) (Video)
41. [Charpit's method-II](https://invisiblenetwork.ai/learn/nptel/111107111/ff52ad213c95) (Video)
42. [Second Order PDE with Variable Coefficients](https://invisiblenetwork.ai/learn/nptel/111107111/6a88f7ed945d) (Video)
43. [Classification and Canonical Form of Second Order PDE-I](https://invisiblenetwork.ai/learn/nptel/111107111/8dc01b927212) (Video)
44. [Classification and Canonical Form of Second Order PDE-II](https://invisiblenetwork.ai/learn/nptel/111107111/2be12bee32c8) (Video)
45. [Classification and Characteristic Curves of Second Order PDEs](https://invisiblenetwork.ai/learn/nptel/111107111/7622f7e3a478) (Video)
46. [Review of Integral Transforms-I](https://invisiblenetwork.ai/learn/nptel/111107111/b60b20445725) (Video)
47. [Review of Integral Transforms-II](https://invisiblenetwork.ai/learn/nptel/111107111/ed700c94ac6c) (Video)
48. [Review of Integral Transforms-III](https://invisiblenetwork.ai/learn/nptel/111107111/d6fcdbc176e1) (Video)
49. [Laplace Equation-I](https://invisiblenetwork.ai/learn/nptel/111107111/8da648c22a73) (Video)
50. [Laplace Equation-II](https://invisiblenetwork.ai/learn/nptel/111107111/1563a6f9e554) (Video)
51. [Laplace Equation-III](https://invisiblenetwork.ai/learn/nptel/111107111/d932636a13e1) (Video)
52. [Laplace and Poisson Equations](https://invisiblenetwork.ai/learn/nptel/111107111/1b2fb64b5c82) (Video)
53. [One dimensional wave equation and its solution-I](https://invisiblenetwork.ai/learn/nptel/111107111/c83fffa01d18) (Video)
54. [One dimensional wave equation and its solution-II](https://invisiblenetwork.ai/learn/nptel/111107111/af7587af7a46) (Video)
55. [One dimensional wave equation and its solution-III](https://invisiblenetwork.ai/learn/nptel/111107111/a34bbe1f179c) (Video)
56. [Two dimensional wave equation and its solution-I](https://invisiblenetwork.ai/learn/nptel/111107111/01726321bef3) (Video)
57. [Solution of non-homogeneous wave equation](https://invisiblenetwork.ai/learn/nptel/111107111/2e9f2d77e207) (Video)
58. [Solution of homogeneous diffusion equation-I](https://invisiblenetwork.ai/learn/nptel/111107111/d58ffce9dba1) (Video)
59. [Solution of homogeneous diffusion equation-II](https://invisiblenetwork.ai/learn/nptel/111107111/de5fd303b2d6) (Video)
60. [Duhamel's principle](https://invisiblenetwork.ai/learn/nptel/111107111/74ad9b0f1865) (Video)