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07:54 Exercise sheet ODE 1: Question 1 worked example Exercise sheet ODE 1: Question 1 worked example	Exercise sheet ODE 1: Question 1 worked example Worked solution for Question 1 from Exercise sheet ODE 1 from EM2A em2a ode example functions matrix determinant basis power question rows columns values form sheet exercise solution questions diagonal zeros hand exponent function cases From Daniel Friedrich 0 likes 5 plays 0 Course Code SCEE08009 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created September 12th, 2023 Retain Source File Yes
13:42 Hyperbolic PDE Analytical methods Example 3:… Hyperbolic PDE Analytical methods Example 3: Laplace transform method example 9.16	Hyperbolic PDE Analytical methods Example 3: Laplace transform method example 9.16 Step by step solution of the wave equation with the Laplace transform method for example 9.16 from the textbook pde3 engineering mathematics example laplace transform hyperbolic equation laplace term string capital side hand solution infinity alpha times condition slide conditions domain displacement beta star velocity problem From Daniel Friedrich 0 likes 191 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created March 13th, 2021
14:35 Hyperbolic PDE Analytical methods Example 2:… Hyperbolic PDE Analytical methods Example 2: Separation of variables example 9.14	Hyperbolic PDE Analytical methods Example 2: Separation of variables example 9.14 Step by step solution of both cases from example 9.14. This example uses the method of separation of variables on the wave equation. pde3 engineering mathematics example wave equation hyperbolic From Daniel Friedrich 0 likes 208 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 27th, 2021
14:59 Hyperbolic PDE Analytical methods Example 1:… Hyperbolic PDE Analytical methods Example 1: Characteristics example 9.13	Hyperbolic PDE Analytical methods Example 1: Characteristics example 9.13 Step by step solution of example 9.13 which covers a wave equation problem solved by the method of characteristics. pde3 engineering mathematics example hyperbolic characteristics From Daniel Friedrich 0 likes 216 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 27th, 2021
09:33 Parabolic PDE Analytical methods Example 5:… Parabolic PDE Analytical methods Example 5: Radially symmetric heat conduction	Parabolic PDE Analytical methods Example 5: Radially symmetric heat conduction Step by step solution of the radially symmetric heat conduction or diffusion problem from example 9.24 pde3 engineering mathematics example parabolic spherical coordinate systems From Daniel Friedrich 0 likes 232 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 13th, 2021
14:13 Parabolic PDE Analytical methods Example 4:… Parabolic PDE Analytical methods Example 4: Laplace transform method example 9.23	Parabolic PDE Analytical methods Example 4: Laplace transform method example 9.23 Step by step solution of example 9.23 with the Laplace transform method pde3 engineering mathematics example parabolic solution equation laplace capital side hand delta condition infinity impulse dirac point transform domain diffusion root left times problem conduction From Daniel Friedrich 0 likes 395 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 6th, 2021
12:27 Parabolic PDE Analytical methods Example 3:… Parabolic PDE Analytical methods Example 3: Separated solution example 9.22	Parabolic PDE Analytical methods Example 3: Separated solution example 9.22 Step by step solution of the heat conduction or diffusion equation example 9.22 from the textbook pde3 engineering mathematics example parabolic From Daniel Friedrich 0 likes 322 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 4th, 2021
10:42 Parabolic PDE Analytical methods Example 2:… Parabolic PDE Analytical methods Example 2: Separated solution example 9.21	Parabolic PDE Analytical methods Example 2: Separated solution example 9.21 Step by step solution for example 9.21 from the textbook. pde3 engineering mathematics example parabolic From Daniel Friedrich 0 likes 332 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 3rd, 2021
09:55 Parabolic PDE Analytical methods Example 1:… Parabolic PDE Analytical methods Example 1: Separated solution example 9.20	Parabolic PDE Analytical methods Example 1: Separated solution example 9.20 Step by step solution for example 9.20 from the textbook. pde3 engineering mathematics example parabolic From Daniel Friedrich 0 likes 362 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created February 3rd, 2021
14:28 Elliptic PDE Analytical methods Example 5:… Elliptic PDE Analytical methods Example 5: Cylindrical coordinates	Elliptic PDE Analytical methods Example 5: Cylindrical coordinates Step by step example solving the Laplace equation on a circle where the upper half of the circle is held at a high temperature while the lower half is held at a low temperature. pde3 engineering mathematics example elliptic cylindrical solution capital theta pi cosine lambda sine circle values term radius condition coordinates equation series laplace integration power integer infinity From Daniel Friedrich 0 likes 698 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created January 27th, 2021
15:04 Elliptic PDE Analytical methods Example 4:… Elliptic PDE Analytical methods Example 4: Poisson's equation	Elliptic PDE Analytical methods Example 4: Poisson's equation Example video for Poisson's equation pde3 engineering mathematics example elliptic equation conditions hand side sine solution capital boundary laplace term naught function poisson respect problem series condition cosine inhomogeneity times From Daniel Friedrich 0 likes 313 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created January 23rd, 2021
19:28 Elliptic PDE Analytical methods Example 3:… Elliptic PDE Analytical methods Example 3: Separated solution with Fourier series	Elliptic PDE Analytical methods Example 3: Separated solution with Fourier series This video show how we can use the method of separation of variables together with the Fourier series to find the solution of the Laplace equation. A brief recap of the Fourier series is given at the… pde3 engineering mathematics elliptic example fourier series solution function star sine series extension condition equation period term sum capital conditions values solutions mu x. pi parameters infinity From Daniel Friedrich 0 likes 523 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created January 8th, 2021
17:48 Elliptic PDE Analytical methods Example 2:… Elliptic PDE Analytical methods Example 2: Separation of variables	Elliptic PDE Analytical methods Example 2: Separation of variables Example video showing how to use the method of separation of variables to calculate the solution to the Laplace equation. pde3 example elliptic engineering mathematics From Daniel Friedrich 0 likes 485 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created January 7th, 2021
14:31 Elliptic PDE Analytical methods Example 1:… Elliptic PDE Analytical methods Example 1: Laplace equation solutions	Elliptic PDE Analytical methods Example 1: Laplace equation solutions The video gives three solutions to the Laplace equation and demonstrates how we can show that these equations are solutions to the Laplace equation. pde3 engineering mathematics example elliptic equation solution laplace respect derivatives minus solutions derivative term numerator differentiation x. conditions slide cases polynomial rule function linear cosine From Daniel Friedrich 0 likes 461 plays 0 Course Code SCEE09004 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created December 18th, 2020
16:45 Fourier series Week 3 Example 2: Harmonic… Fourier series Week 3 Example 2: Harmonic oscillator	Fourier series Week 3 Example 2: Harmonic oscillator Video discussing the harmonic oscillator. We use the Fourier series of a periodic forcing to find the particular solution of the differential equation describing the harmonic oscillator. em2a engineering mathematics example fourier series From Daniel Friedrich 0 likes 566 plays 0 Course Code SCEE08009 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created November 9th, 2020
16:20 Fourier series Week 3 Example 1: Fourier series… Fourier series Week 3 Example 1: Fourier series by differentiation or integration	Fourier series Week 3 Example 1: Fourier series by differentiation or integration Three examples showing the use of differentiation and integration to find Fourier series. em2a engineering mathematics example fourier series From Daniel Friedrich 0 likes 601 plays 0 Course Code SCEE08009 Publisher Daniel Friedrich Licence Type Creative Commons - Attribution Language English Date Created November 9th, 2020

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