Recent content by NT123

I would suggest an engineering degree while reading up on the physics you wish to learn in your spare time - I don't believe university education to be essential for learning if you're motivated. However, if you wish to be a practicing engineer or pursue an engineering PhD, an engineering...

Hi All, There have probably been topics similar to this already, but I just want to see what people's advice is given my cirumstances. I already have a BSc in math, went to grad school in math for a year and didn't like it, so have gone back to undergrad for ME, which I will be starting...

Homework Statement Find the work done to move a test charge with charge q from the origin to the edge of a spherical conducting shell which surrounds it, also of charge q. (Shell is of radius R). Homework Equations W = int(F.ds) where W = work done, F = force The Attempt at...

Hi All, I'm currently deciding on what to major in - my top 2 choices are chemical and petroleum engineering. I slightly favor petroleum engineering, but I am not sure whether it would be a good idea to go into it at this stage since I am uncertain about the future of the oil industry. I...

Hi all, I have decided to do a second degree since my first degree (math) hasn't given me many options for work or graduate study that I'm interested in pursuing. I am strongly considering chemical engineering, since I am enjoying my chemistry course so far and have the strength in math to...

Hi, I have already completed a BSc in math in England, and am currently in applied math grad school, which I am not enjoying at all. I have decided I want to start afresh with engineering, and I am thinking of biomedical engineering ( second choice mechanical engineering ). I have had...

Homework Statement I need to find the solution to x'' + cx' = f(t), for a general f. Homework Equations The Attempt at a Solution Obviously first I solve the homogeneous part to give me A + B*exp(-ct). I also know that the particular solution is written as (1/c)int((1-exp(c(s-t))f(s))ds...

I thought the r^(-n) part was removed because then the solution would go to infinity at r = 0.

Homework Statement I need to solve the Laplace equation, u_rr + (1/r)u_r + (1/r^2)u_{theta}{theta} = 0, on a circular wedge with radius R, angle {alpha}, where u(r,0) = 0, u(R,{theta}) = 0, and u(r,{alpha}) = 50. Homework Equations The Attempt at a Solution Separate variables -...

Ah of course, thanks :)

Thanks - I thought of this as well, but this would mean I have to integrate on each interval, and I get sum(n=0, n=inf) ((1+exp(pi*s)/exp(n*pi*s)*(s^2+1)). Is there a way to simplify this? I'm supposed to be using Laplace transforms to solve a differential equation with |sint| as the...

Homework Statement Need to find the Laplace transform of |sint| (modulus). Homework Equations The Attempt at a Solution I am really not sure how to proceed here - any help would be much appreciated.

Homework Statement I need to find the inverse Laplace transform of s/(s^2+a^2), where a is a constant, by the method of residues. I need to prove the part of the contour not actually relating to the desired integral tends to zero as R---> infinity. Homework Equations The...

You mean write z as r*exp(i(t+2*k*pi)), so sqrt(z) = (r^1/2)*exp(it/2) or (r^1/2)*exp(i(t/2+pi)? = -(r^1/2)*exp(it/2) ?

Homework Statement Branch cut for cos(sqrt(z)). Homework Equations The Attempt at a Solution Apparently there is no need for a branch cut for this function, but I am not sure why - I heard it has something to do with cos being an even function. Any clarification would...