Will the real TeeEm please stand up!

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 ...

Reply 722

username1162972

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?

Posted from TSR Mobile

Reply 723

Original post by physicsmaths

What does analogous meAn?

Posted from TSR Mobile

when I made the question yesterday I started with y = e^x/(1+e^x)
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?

Reply 724

rayquaza17

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

Posted from TSR Mobile

Reply 725

Original post by gagafacea1

What method did you use?

Solution to the extra :smile:

(edited 8 years ago)

image.jpg387.8KB

Reply 726

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.

(edited 8 years ago)

GeneiRyodan.pdf57.8KB

Reply 727

Original post by gagafacea1

This...

looks interesting

my holiday after dinner homework, for tonight

Reply 728

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.

Reply 729

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 :smile:

I'll post the solution tomorrow if requested

image.jpg255.8KB

Reply 730

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 :smile:

I'll post the solution tomorrow if requested

okay but where is the first part?

Reply 731

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 :smile:

I'll post the solution tomorrow if requested

I have already done it.

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

(edited 8 years ago)

Reply 732

Original post by gagafacea1

okay but where is the first part?

There is no first part mwhahahahaha

Reply 733

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 :smile:

I'll post the solution tomorrow if requested

I assume it is y = √x / (1 + √x)

Reply 734

Original post by TeeEm

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...

Reply 735

Original post by TeeEm

I assume it is y = √x / (1 + √x)

Nope

Reply 736

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)

Reply 737

Original post by Gome44

There is no first part mwhahahahaha

You are a mean boy who is just being mean!

Reply 738