You are Here: Home >< Maths

# General Solution of a Differential Equation Watch

1. I need to find the general solution of the differential equation:

Im confused what it means by general solutions, do i need to integrate it?
2. Separate the variables, integrate then and put it in the form you desire
3. Yup, integrate and you'll have a constant - that's your general solution. 2nd order DEs will have 2 constants, 3rd will have 3 etc.
4. By separating the variables, do you mean:

By separating the variables, do you mean:

That's correct.
6. I found the general solution to be:

It says in the question, 'Check if the general solution contains all the solutions of this equation?' I dont really understand what it means by this?
7. Let y2 be another solution to the differential equation, so

Then let , can you do anything with ?

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:
Updated: December 10, 2010
Today on TSR

### Cambridge interview invitations

Has yours come through yet?

### Official Oxford interview invite list

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.