You are Here: Home >< Maths

# Second order ODE !!??!£&@""&&"09&"??

Announcements Posted on
Why bother with a post grad? Are they even worth it? Have your say! 26-10-2016
1. The point lies on the curve such that

.

Find the possible equations of .

Any ideas?

Edit : I have put the correct question now. Also it's only first order actually.
2. (Original post by Ano123)
The point lies on the curve such that

.

Find the possible equations of .

Any ideas?
Why do you think an (elementary) solution exists?
3. (Original post by Zacken)
Why do you think an (elementary) solution exists?
This one does now.
4. (Original post by Ano123)
This one does now.
Now it makes sense.

Think of it as a quadratic in - this gets you or something along those lines.

It's a first order ODE, by the way - not a second order one.
5. (Original post by Ano123)
The point lies on the curve such that

.

Find the possible equations of .

Any ideas?

Edit : I have put the correct question now. Also it's only first order actually.
Consider differentiating both sides w.r.t. , and a lot of stuff cancels (but be careful not to lose any solutions when dividing through by a certain factor later). This will reduce the ODE to a trivial solution and a second order ODE that is "morally" a first order separable one.
6. I already have obtained the answers really. But it can always help to see how others do it.

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
2. this can't be left blank
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
1. Oops, you need to agree to our Ts&Cs to register

Updated: April 4, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### Who is getting a uni offer this half term?

Find out which unis are hot off the mark here

Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams