Recent content by sristi89

Hi everyone, So I have to solve a ODE (for dy/dt = K*(y-s) ) numerically in Matlab. This is how I set it up: K = 1; s = 20; y0 = 100; npoints = 50; dt = 0.1; y = zeros(npoints,1); % this initializes the vector y to being all zeros t = zeros(npoints,1); y(1) = y0; % the...

Hi, Here is the equation: x+x'=5.1sin(600*t)*u(t) Our teacher gave us a hint that we should try using a substitution which is a system of sines, cosines, and looks something similar to 5.1sin(600*t)*u(t). I tried substituting: x(t)= A sin (w1*t)+B cos (w2*t)+ c cos(w3*t)*u(t)...

I am pretty sure about the series. I verified with the back of the book. We were also supposed to show pi^2/12=1-1/2^2+ etc. I plugged in x=o and was able to prove it. For the pi^2/6, I tried setting x to be pi/2 so that the cosine term goes away but that didn't work out.

P.S: and n goes from 1 to infinity

I didn't want to type out the Fourier series since I am really new to latex but here it is f(x) =pi^2/6 +\Sigma { (2(-1)^n/n^2) cos nx + ((-1)^(n+1) pi/n + 2/(pi * n^3) [(-1)^n-1] sin nx } I hope that made sense and that I didn't make any typos.

Homework Statement f (x) = 0 -pi<x<0 x^2 0<x<pi Find the Fourier series and use it to show that (pi^2)/6=1+1/2^2+1/3^2+... Homework Equations N/A The Attempt at a Solution I was able to find the Fourier series and my answer matched with the back of the...

Here is a sample question: What are the Fourier coefficients of the function f(x)=ae^(-ix)+b+ce^(ix)? And express the norm in terms of Fourier coefficients. They don't mention if it is the L^2 norm or not.

Hi, I was wondering if it is possible to express the norm of a function in terms of Fourier coefficient. If so, how do you go through it if given a particular function. Thanks