Recent content by hbomb

Well, I thought I knew what I was doing. My professor gave us a take home quiz that is due after Thanksgiving and he hasn't showed us how to do piecewise Fourier series. Possibly Monday he'll show us. I figure I could get a head start and learn how to do these problems.

Could someone please help me understanding this. Let f(x) = 0, -2< x <0 and x, 0< x <2 f(x) repeats this pattern for all x a) What is the period of f(x)? b) Is f(x) even, odd, or neither? c) Find the Fourier Series for f(x). a) I found that the period is 2 b) odd c) I'm not even sure...

It's the vector solution. I just realized that this message board gets rid of the extra spaces. 25, -7, 6 is one column matrix. cos5t+5sin5t, cos5t, cos5t is one column matrix. -5cos55t+sin5t, sin5t, sin5t is one column matrix. 2, 2, 1 is one column matrix. 1-5i, 1, 1 is one column matrix. And...

I'm stuck on this problem that involves drawing a phase portrait but I'm at a stand still. Find the general solution to the following differential equation: [1 -12 -14] x'= [1 2 -3]*x [1 1 -2] the eigeinvalues that I found are 1 , +5i, -5i the general...

Ok, I understand that for the general solution, the only unstable part of it is e^-2t. What does the setup of the solution look like?

Could someone give a brief run down of how to transform a given equation into a system of first order equations. Example: u"+.5u'+2u=0 How do you transform a given system of equations into a single equation of second order. Example: x1'=3x1-2x2 , x2'=2x1-2x2 Thanks a bunch, because my...

Yea, he's very vague on some of these topics. He gives examples of finding determinants of matrices and finding eigenvalues and eigenvectors, but he never showed how to solve a system of equations with a given point.

ok, so what I understand from this is that I plug t=0 into all the t's of the general solutions. x=3C1-32-C3 y=6C2 z=2C1+8C2+3C3 And then do I set these equal to (x,y,z)=(2,3,-1). What is the solutions form suppose to look like?

The general solution fo the following equations: x'=2x-3y y'=x-2y Is, x=4C1e^2t, y=C1e^2t-3C2e^-2t They ask for me to list a set of initial conditions (xo, yo) for which the solution is stable, i.e, (x, y)-->(0,0) for large t. I don't understand this part of the problem.

Give the general solution of the set of equations below: x'=5x-2y+3z y'=y z'=6x+7y-2z Which I found to be: x=3C1e^7t-3C2e^t-C3e^-4t y=6C2e^t z=2C1e^7+8C2e^t+3C3e^-4t Here's where I'm stuck. They want me to find the solution at t=0, (x,y,z)=(2,3,-1) Which the professor hasn't...

I have a question that involves a system of equations that I can't figure out Give the general solution of the set of equations below: x'=2x y'=-x+3y z'=2x-4y+6z Hint: While you can use eigenvalues and eigenvectors for this one, there is an easier way to do it. That's where I'm...

That's what I don't understand, I don't know how to use the integration setup properly. This is what I should be using: R=1/M*integral of rp(r)dV

Tha't what I did before and it didn't work for me. I got .527046y^(3/2). I plugged in .72 to evaulate it and my homework site said it's wrong.

Yes, thanks. The site has been helpful, but I have a question that I couldn't find an answer for. What happens if you have a summation with the starting index of the summation with n=0 but one of the summations you have an index of n=1. All the exponents are the same. Also what happens if...

I need some help with power series. I can't remember how to find a power series center around a point. example question: y"-xy'-y=0, x=1 I don't how to start this.