Messages

1

Term Test 1 / Re: TT1 Problem 2 (morning)

« on: October 16, 2018, 01:34:56 PM »

I am trying to go the cosh~sinh way, but cannot continue when finding the second solution, can someone help me out of this?
Thanks in advance. I tried to see classmates' post, but they gave the answer directly;D

2

MAT244--Lectures & Home Assignments / non-homogeneous guessing question

« on: October 08, 2018, 10:37:22 AM »

during solving the general solution for the non-homogeneous equation, why should we guessing an answer combine sin&cos together for
an equation like the right-hand side only contains one of the sin&cos.

Thanks!

3

MAT244--Lectures & Home Assignments / some inspiration for integration factor

« on: September 19, 2018, 03:41:41 PM »

I found a method online suggested by a youtuber Michel van Biezen.
Now we have a non-exact question, we multiply $x^ny^m$ both side to the homogeneous equation.
Then we want the new $M_y=N_x$, the question becomes to find appropriate $m$ and $n$, that will be easier since we do not need to guess the dependence of ....

Hope this helps.

reference:https://www.youtube.com/watch?v=xt6Gw3rzMwI

4

MAT244--Lectures & Home Assignments / Typo in home assignment

« on: September 15, 2018, 04:01:55 PM »

In 2.1, Q38
for equation (iv), is there lost an exponential part? - Indeed. Fixed. Thanks. V.I.

5

MAT244--Lectures & Home Assignments / Re: Last question from todays lecture

« on: September 15, 2018, 03:40:28 PM »

Is it because there is a redundant constant -2, so we would like to change from the equation of (x,y) to (w,t)?

6

MAT244––Home Assignments / A little error on webpage

« on: March 01, 2018, 10:06:18 AM »

http://www.math.toronto.edu/courses/mat244h1/20181/homeassignments.html

the assignment link for 4.4, it actually direct to problems for 4.2