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# Will the real TeeEm please stand up! watch

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1. (Original post by TeeEm)
I made another "pair" today with a square root instead of the exponential.
As a challenge see if you can write an analogous pair of questions.
Are you training us into little TeeEm's?
2. (Original post by Gome44)
Are you training us into little TeeEm's?
I am trying...

To make the question, is a more advanced mathematical skill than to to solve it ...
3. (Original post by TeeEm)
I made another "pair" today with a square root instead of the exponential.
As a challenge see if you can write an analogous pair of questions.
What does analogous meAn?

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4. (Original post by physicsmaths)
What does analogous meAn?

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when I made the question yesterday I started with y = ex/(1+ex)
I made the first question to find the derivative in terms of y

Then for the ODE I differentiated the derivative and wrote everything in terms of y again. I gave this as the second question (with some conditions to make the numbers nice)

Then I started experimenting with "harder drugs"
I started with y = √x / (1 + √x)
I made the another "first question" to find the derivative in terms of y
Then I made "another second question"

I did not give this second pair as the solution to the second is not nice ...

all clear?
5. (Original post by physicsmaths)
What does analogous meAn?

Posted from TSR Mobile
Means "like" or similar but when you compare two different things.

So something could have a property and something else could have a property that follows the same sort of idea but isn't the same.

Easier with an example but I can't think of one lol

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6. (Original post by gagafacea1)
What method did you use?
Solution to the extra
Attached Images

7. (Original post by TeeEm)
I made another "pair" today with a square root instead of the exponential.
As a challenge see if you can write an analogous pair of questions.
This...

Edit: Updated the file, put more hints and added an extension question.
Attached Images
8. GeneiRyodan.pdf (56.4 KB, 34 views)
9. (Original post by gagafacea1)
This...
looks interesting

my holiday after dinner homework, for tonight
10. (Original post by TeeEm)
looks interesting

my holiday after dinner homework, for tonight
Oh and ignore the first hint, I changed the question in the end so that you don't need it.
11. (Original post by TeeEm)
I made another "pair" today with a square root instead of the exponential.
As a challenge see if you can write an analogous pair of questions.
Warning: It's absolutely brutal.

It took me about 25 mins to get from the answer to the D.E, but 4 hours to get from the D.E to the answer. Good luck

I'll post the solution tomorrow if requested
Attached Images

12. (Original post by Gome44)
Warning: It's absolutely brutal.

It took me about 25 mins to get from the answer to the D.E, but 4 hours to get from the D.E to the answer. Good luck

I'll post the solution tomorrow if requested
okay but where is the first part?
13. (Original post by Gome44)
Warning: It's absolutely brutal.

It took me about 25 mins to get from the answer to the D.E, but 4 hours to get from the D.E to the answer. Good luck

I'll post the solution tomorrow if requested

I wrote the ODE a bit better/ neater but that is still very hard to tidy to the answer, which of course I knew what it was ...

it is because it is brutal to tidy (and beautiful at the same time) I chose not to post that one last night....

let us see how many will manage it
14. (Original post by gagafacea1)
okay but where is the first part?
There is no first part mwhahahahaha
15. (Original post by gagafacea1)
okay but where is the first part?
(Original post by Gome44)
Warning: It's absolutely brutal.

It took me about 25 mins to get from the answer to the D.E, but 4 hours to get from the D.E to the answer. Good luck

I'll post the solution tomorrow if requested
I assume it is y = √x / (1 + √x)
16. (Original post by TeeEm)

I wrote the ODE a bit better/ neater but that is still very hard to tidy to the answer, which of course I knew what it was ...

it is because it is brutal to tidy (and beautiful at the same time) I chose not to post that one last night....

let us see how many will manage it
How did you write it? My way the integration is quite messy, as you have to come up with a lot of substitutions. Also, I had to use Wikipedia for a trig formula...
17. (Original post by TeeEm)
I assume it is y = √x / (1 + √x)
Nope
18. (Original post by Gome44)
Nope
(Original post by Gome44)
How did you write it? My way the integration is quite messy, as you have to come up with a lot of substitutions. Also, I had to use Wikipedia for a trig formula...
then I take back what I said as I assumed you did y = √x / (1 + √x)
19. (Original post by Gome44)
There is no first part mwhahahahaha
You are a mean boy who is just being mean!
20. (Original post by Gome44)
Warning: It's absolutely brutal.

It took me about 25 mins to get from the answer to the D.E, but 4 hours to get from the D.E to the answer. Good luck

I'll post the solution tomorrow if requested
I will have a go at yours and gagaface1, this evening

Can you confirm in the condition x=11/2 ?
21. (Original post by TeeEm)
I will have a go at yours and gagaface1, this evening

Can you confirm in the condition x=11/2 ?
Sorry, it's π/2, my handwriting is just really bad

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