Fourier Series - Vector Space - I have no clue what this problem is asking
My problem is attached as jpg file.
My problem is attached
Fourier Series - Heat Equation - Diff. Eq
My problem is attached as jpg file.
Differentiable Functions - Limit
My problem is attached as jpg file.
Fourier Series for periodic functions
Find the Fourier series as well as the first three partial sums of the Fourier series.
F(x)=x-x^2 if -1
(a) Use integration by parts to show that... (see attachment) (b) If a is real and nonzero... (see attachment)
Solve using Fourier transforms and residue calculus
3. The nefarious Evil Corp is dumping radioactive pollutant into a river moving with speed c. Define x to be the downstream coordinate, with the pollutant being injected at x=0... (see attachment for rest of question)
Use the Fourier transform to solve the one-dimensional wave equation. See attached file for full problem description.
Calculating the inverse fourier transform
Calculate the inverse Fourier transform of 1/(w^2+2iw-2) in two ways: using the definition and using partial fractions.
Steady state deflection differential equation
The steady state deflection is given by: y''''+c^4*y=f(x) calculate and plot the deflection for a load: f = 1 for |x|<10, f=0 everywhere else. using Fourier transform. Plot the deflection for various values of c.
