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### Messages - Mengfan Zhu

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##### Quiz-7 / Re: Q7 TUT 0301
« on: December 01, 2018, 03:09:51 AM »
Hello, here is my solution.
There are two critical points:
(0, 2nπ) n=0,1,2,3... and (2, nπ) n=1,3,5...
By the way, I think there is no “±” for n here.
At (0, 2nπ), it's indeterminate center or spiral point.
At (2, nπ), it's an unstable saddle point.
The graph drawn by hand is also below.
Thank you ^_^

2
##### Quiz-7 / Re: Q7 TUT 5102
« on: December 01, 2018, 02:59:55 AM »
For this question, I draw the graph my hand.
If there is any problem, tell me as soon as possible.

3
##### Quiz-7 / Re: Q7 TUT 0101
« on: December 01, 2018, 02:57:12 AM »
Hello, I solve this question step by step.
Please see the picture below.
If there are any mistakes, reply to me anytime.
Thank you very much.

4
##### Quiz-7 / Re: Q7 TUT 0601
« on: December 01, 2018, 02:54:58 AM »
For this question,
there are two critical points: (-1,1) (1,1)
At (-1,1), it's an unstable saddle point.
At (1,1), it's an asymptotically stable spiral point.

5
##### Quiz-7 / Re: Q7 TUT 5101
« on: December 01, 2018, 02:51:46 AM »
Hi everyone, this is my solution.
For the part(d), I draw the graph by my own method,
just put all single small graphs together.

6
##### Term Test 2 / Re: TT2A-P4
« on: November 22, 2018, 02:51:44 PM »
Hello, this is my answer.
To be clear, I did it step by step to get the general real solution
If there are any mistakes, please tell me below ^_^

7
##### Term Test 2 / Re: TT2-P4
« on: November 22, 2018, 02:49:36 PM »
Hello, this is my answer.
To be clear, I did it step by step to get the general real solution ^_^

8
##### Quiz-6 / Re: Q6 TOT 0301
« on: November 20, 2018, 01:25:22 AM »
Let's solve this question step by step!!!

9
##### Quiz-5 / Re: Q5 TUT 0501
« on: November 20, 2018, 01:09:08 AM »
This is my complete answer.
It is much easier to simplify the two equations into the common format first.

10
##### Quiz-6 / Re: Q6 TUT 0601
« on: November 20, 2018, 12:45:04 AM »
Hello everyone, this is my answer for quiz 6.
To analyze part(c), I think that we can divide this question into two parts: the real roots and complex roots.
But I am not sure, do we need to consider other conditions?
Is there anyone can share your opinions below?
Thank you very much.

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