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Learn · Introduction to Methods of Applied Mathematics

Lecture 17 of 32Week 6

Laplace Transform Applied to Differential Equations & Convolution

Prof. Mani Mehra and Prof. Vivek Kumar Aggarwal · IIT Delhi

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Introduction to Methods of Applied Mathematics, IIT Delhi (at NPTEL)
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CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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All the lectures

  1. Introduction to First Order Differential Equations YouTube
  2. Introduction to First Order Differential Equations (contd…) YouTube
  3. Introduction to Second Order Linear Differential Equations YouTube
  4. Second Order Linear Differential Equations With Constant Coefficients YouTube
  5. Second Order Linear Differential Equations With Constant Coefficients (Contd…) YouTube
  6. Second Order Linear Differential Equations With Variable Coefficients YouTube
  7. Factorization of Second order Differential Operator & Euler Cauchy Equation YouTube
  8. Power Series Solution of General Differential Equation YouTube
  9. Green's function YouTube
  10. Method of Green's Function for Solving Initial Value & Boundary Value Problems YouTube
  11. Adjoint Linear Differential Operator YouTube
  12. Adjoint Linear Differential Operator (Contd..) YouTube
  13. Sturm-Liouvile Problems YouTube
  14. Laplace transformation YouTube
  15. Laplace transformation (Contd…) YouTube
  16. Laplace Transform Method for Solving Ordinary Differential Equations YouTube
  17. Laplace Transform Applied to Differential Equations & Convolution YouTube
  18. Fourier Series YouTube
  19. Fourier Series (Contd…) YouTube
  20. Gibbs Phenomenon and Parseval's Identity YouTube
  21. Fourier Integral and Fourier Transform YouTube
  22. Fourier Integral and Fourier Transform (Contd..) YouTube
  23. Fourier Transform Method for Solving Ordinary Differential Equations YouTube
  24. Frames, Riesz Bases and Orthonormal Bases YouTube
  25. Frames, Riesz Bases and Orthonormal Bases (Contd..) YouTube
  26. Fourier Series and Fourier Transform YouTube
  27. Time-Frequency Analysis and Gabor Transform YouTube
  28. Window Fourier Transform and Multiresolution Analysis YouTube
  29. Construction of Scaling Functions and Wavelets Using Multiresolution Analysis YouTube
  30. Daubechies Wavelet YouTube
  31. Daubechies Wavelet (Contd…) YouTube
  32. Wavelet Transform and Shannon Wavelet YouTube