**I am emailing a link of this to everyone on the class list every week. If you are not receiving these emails or want to have them sent to another email address feel free to email me at jpmccarthymaths@gmail.com and I will add you to the mailing list.**

## Maple Test

I have given ye a sample Maple Test and ye will have your Maple Test Wednesday at 20:30.

## Study

Please feel free to ask me questions via email or even better on this webpage — especially those of us who struggled in the test.

Please find a reference for some of the prerequisite material here.

## Week 11

We continued our study of Laplace Methods and saw how they can solve differential equations.

## Weeks 12

We finish our work on Laplace Methods and look at the general solution of the damped harmonic oscillator.

## Week 13

We will hold a review tutorial on Wednesday 8 May in the usual room. First off, the layout of your exam is the same as Winter 2012: do question one worth 50/100 and two out of questions two, three, four; each worth 25/100.

I will field any questions ye might have at this time and if there are no questions we will do the exam paper from Autumn 2012.

## Math.Stack Exchange

If you find yourself stuck and for some reason feel unable to ask me the question you could do worse than go to the excellent site math.stackexchange.com. If you are nice and polite, and show due deference to these principles you will find that your questions are answered promptly. For example this question about generalising what we will be doing in the next question.

## 2 comments

Comments feed for this article

April 30, 2013 at 8:02 am

Student 35J.P.

For Page 150 Question (i)

I apply Laplace to both sides and end up with:

Completing the square on I get and leaving me with:

.

Adding 5 and subtracting 5 I do:

.

The first term gives me a shifted cosine leaving me with

However the second term isn’t quite shifted sine so I multiplied and divided by 2 leaving me with

Giving me an answer:

It is but it isn’t the answer in the book so can you tell me if I have cheated when trying to send it back or is the answer in the book just manipulated to separate the exponential function from the trig functions.

April 30, 2013 at 8:07 am

J.P. McCarthyIt is the same as the answer in the book…

In fact your answer is better because the solution to the differential equation is not as I have.

Regards,

J.P.