• Today, 15:31
Yes, but you used it on the original ODE, not the one in standard linear form. :)
4 replies | 58 view(s)
• Today, 11:38
Congratulations to castor28 for his correct solution to this week's POTW, which was Problem 307 in the MAA Challenges. His solution follows: By...
1 replies | 244 view(s)
• Yesterday, 14:11
Yes. And it also assumes we take $\nu=2$ steps with the damped Jacobi method. (Nod) It's not quite clear from the text to me. With a choice...
16 replies | 405 view(s)
• Yesterday, 12:19
We can freely choose to use $\omega=2/3$ or a different $\omega$, or not use the damped Jacobi method at all. The chapter explains that it's giving...
16 replies | 405 view(s)
• Yesterday, 06:19
Thanks steenis ... No worries at all ... Thanks for all your help ... Peter
10 replies | 172 view(s)
• Yesterday, 06:04
Thanks Steenis ... That proof seems really clear ... Will work through it again shortly... Peter
4 replies | 75 view(s)
• Yesterday, 05:18
Sorry Steenis ... I don't understand you ... Can you give me a hint as to what is wrong ...? Peter
10 replies | 172 view(s)
• Yesterday, 04:51
Thanks steenis ... most helpful ... Can see that the short exact sequence $0\rightarrow \text{ker } f \overset{i}{ \rightarrow}R^{(n)}... 10 replies | 172 view(s) • Yesterday, 01:22 ======================================================================== Since I could not see any specific errors, I have completed the proof... 4 replies | 75 view(s) • June 17th, 2018, 12:39 MarkFL replied to a thread [SOLVED] 2.2.3 de with tan x in Differential Equations I can't imagine trying to use the internet on a telephone. I'm sorry scrolling on a telephone is such a chore...they should fix that. 8 replies | 107 view(s) • June 17th, 2018, 05:04 Peter started a thread Deveno ... in Chat Room Deveno is much missed ... especially by those who frequent the Linear and Abstract Algebra Forum ... Deveno's pedagogical abilities were as... 0 replies | 44 view(s) • June 17th, 2018, 04:40 I am reading Dummit and Foote's book: "Abstract Algebra" (Third Edition) ... I am currently studying Chapter 10: Introduction to Module Theory ...... 4 replies | 75 view(s) • June 17th, 2018, 00:59 MarkFL replied to a thread [SOLVED] 2.2.3 de with tan x in Differential Equations Are you using Tapatalk by any chance? I have code in place to let me know when posts have been edited, so I don't miss added content (it's better to... 8 replies | 107 view(s) • June 17th, 2018, 00:52 MarkFL replied to a thread [SOLVED] 2.2.3 de with tan x in Differential Equations When you multiply by$\mu(x)$, you get: \sec(x)y'+\tan(x)\sex(x)y=\sec(x)\sin(2x) This can be written as: ... 8 replies | 107 view(s) • June 16th, 2018, 23:10 Thanks Steenis ... You have shown that$R^{(n)} / N \cong M$where$N = \text{ Ker } f\$ ... ... ... ... ... (1) ... and we have by...
10 replies | 172 view(s)
• June 16th, 2018, 19:51
MarkFL replied to a thread [SOLVED] 2.2.3 de with tan x in Differential Equations
-\ln(\cos(x))=\ln\left((\cos(x))^{-1}\right)=\ln(\sec(x))
8 replies | 107 view(s)
• June 16th, 2018, 19:38
MarkFL replied to a thread [SOLVED] 2.2.3 de with tan x in Differential Equations
\mu(x)=\exp\left(\int \tan(x)\,dx\right)=e^{\Large\ln(\sec(x))}=\sec(x)
8 replies | 107 view(s)
• June 16th, 2018, 00:29
300+300\cdot\frac{1666}{100}=300(1+16.66)=300\cdot17.66=5298 Here, we have taken 300, and added 1666% of 300 to it. However if we multiply 300 by...
4 replies | 102 view(s)
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1. Hello and welcome back to MHB, mathmaniac!

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2. Hello and welcome back to MHB, mathmaniac!

We are happy to see that you have returned, and we look forward to your continued participation here!

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MarkFL.
3. Hello and welcome back to MHB, mathmaniac!

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8. I live in the central part of Sri Lanka from the time I was born. Only the north and north eastern parts of Sri Lanka was heavily effected by the war. There was a risk of bomb explosions and terrorist attacks all around the country but we weren't in the war zone and weren't directly effected by the war.
9. I don't have much of a liking for exams too. But you know, they are there and will be there in times to come. If you are getting A's and A+'s for all your exams that should be thought of as a privilege at least. When I was in school, I rarely got good grades and most of the time I was the 22~27th in the class (out of about 30~36 students). The problem about this is that I was told by many people to study harder and achieve something better. So if you can achieve A's and A+'s effortlessly that is something to be quite happy about.

Yes, the war in Sri Lanka is completely over, which I think is a great thing indeed.
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