Homework 7 - Due Wednesday 14th October in class.

The following questions are taken from the textbook. I haven't given the question numbers because of probable differences between different editions of the textbook in chapter 3. In some sense, they are not hard questions. In another sense, getting them right can take some perseverance!

Notation: if I write t^2 that means t squared (^ is the command that gives you a superscript in mathematical typesetting programmes). Of course, exp(t) means exactly the same thing as e^t.

A) [10 marks]

Find the general solution of y"-2y'-3y = -3 t  exp(-t)

B) [10 marks]

Find the general solution of y"+2y'+y = 2 exp(-t)

C) [18 marks]

Find the solution of the initial value problem

y"+4y = t^2 +3 exp(t)
y(0)=0
y'(0) =2


+2 marks for presentation