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Laplace transform Week 1 Part 5: Frequency shift property

This video introduces the frequency shift property of the Laplace transform.

From  Daniel Friedrich on September 3rd, 2020 0 likes 341 plays 0  

Laplace transform Week 1 Part 3: Convergence region

In this video we introduce the concept of exponential order and define the region of convergence of the Laplace transform.

From  Daniel Friedrich on September 3rd, 2020 0 likes 421 plays 0  

Laplace transform Week 1 Example 1: Direct calculation of the Laplace transform

In this example video, we calculate the Laplace transform of the ramp, sine and cosine functions, and the hyperbolic sine and cosine functions directly from the Laplace transform definition.

From  Daniel Friedrich on September 3rd, 2020 0 likes 442 plays 0  

Laplace transform Week 3 Example 1b: Stability of third order differential equation

Evaluate the stability of the third order ODE given by: x''' + 2x'' + 4x' + 8x = t exp(2t) with x(0)=x'(0) = 0 and x''(0)=1

From  Daniel Friedrich on November 6th, 2019 0 likes 402 plays 0  

Laplace transform Week 3 Example 1a: Laplace transform method for third order differential equation

Solve a third order ODE with the Laplace transform method. The initial value problem is given by: x''' + 2x'' + 4x' + 8x = t exp(2t) with x(0)=x'(0) = 0 and…

From  Daniel Friedrich on November 6th, 2019 0 likes 382 plays 0