Toronto Math Forum

MAT244--2020F => MAT244--Lectures & Home Assignments => Chapter 2 => Topic started by: Shujun Fan on October 01, 2020, 04:45:10 PM

Title: Problem of Section 2.6 Q28
Post by: Shujun Fan on October 01, 2020, 04:45:10 PM
Hi there, I think there might be some problem with Q28. After I found the integrating factor and then solve for the solution, it's impossible to find the solution of my h(y) in this case (see the last line of my writing).

/Users/loreinafan/Desktop/IMG_0574.jpg

So in this case, I think there might be some problem with the factor that I circled in white.

/Users/loreinafan/Desktop/IMG_3049.JPG

Any help would be appreciated.
Title: Re: Problem of Section 2.6 Q28
Post by: Shujun Fan on October 01, 2020, 04:47:48 PM
Sorry, here is the first image
Title: Re: Problem of Section 2.6 Q28
Post by: Shujun Fan on October 01, 2020, 04:49:41 PM
Here is the second image
Title: Re: Problem of Section 2.6 Q28
Post by: Yuanting Wu on October 02, 2020, 03:50:03 AM
In the textbook, it is e^(-2y). Maybe this one is correct.
Title: Re: Problem of Section 2.6 Q28
Post by: Victor Ivrii on October 03, 2020, 07:54:48 AM
Hi there, I think there might be some problem with Q28. After I found the integrating factor and then solve for the solution, it's impossible to find the solution of my h(y) in this case (see the last line of my writing).
If you found an integrating factor correctly there should be no problem to $h(y)$. There is a problem with your solution, not with the problem.
In the textbook, it is e^(-2y). Maybe this one is correct.
Both are correct