Derive Source Solution using a Laplace Transform

Related BrainMass Solutions

• Derive Source Solution by Performing Integral Tranforms on a Heat Equation.

  Derive the source solution by performing integral transforms of the equation: Please see the attached file for the complete solution. Thanks for using BrainMass. Problem.

• transfer function and unit setp response

  Using the knowledge that the Laplace transform of dX/dt is sX(s) and: dVout / dt = 1/RC (Vin - Vout) derive the Laplace transform of the above system, Vout(s)/Vin(s). B.)

• Waveforms : Fourier and Laplace Transforms

  b.Derive the Laplace transform for this signal. c.Use Laplace transform analysis to derive the Fourier transform in its simplest form. All details in the attached sheet. Please see the attached file for the complete solution.

• Solving Transfer Function and Differential Equation in S Domain

  For this you need to use the convolution integral which unfortuately in this case involves integration by parts Thanks John From a given first order differential equation this is solved using Laplace transform methods going through to find the Laplace

• Laplace Transformations and Inverse Laplace Transformations

  Find the Laplace transform of 6 cos t + 2e −3t . We know that Laplace transform of cos at = a/a^2 + s^2 and Laplace transform of exp(at) = 1/s-a. Using linear property L(aƒ + bg) = aL(ƒ) + bL(g) where a and b are constants.

• Using Laplace transforms to analyse diff circuits responses

  A number of questions are presented to ask to derive the Laplace transform functions or else identify the reverse Laplace transform time domain functions Question: Find the Laplace transform of exp(-3t).Cos(4t) Solution: Using the shifting theorem

• Circuit analysis branch

  Using the definition of the Laplace transform, find the Laplace transform of f(at). 5. What is the inverse Laplace transform of 1/s^3? 6. Find the Laplace transform of e^(-3t)cos4t. 7.

• Laplace transforms, inverse laplace transforms and transient solutions

  A resistor and inductor are connected in series with a voltage source . If H, find the total response of the current. Assume there is initially no current. Identify the transient solution. Please find the solution in the attached file.

• Laplace Transform

  - Finding the total response of the current when a resistor and an inductor are connected in series with a given voltage source. Please see attached file for the solution to the given problems.