Join TSR now and get all your revision questions answeredSign up now

First Order Differential Equation Question! Watch

    • Thread Starter
    Offline

    1
    ReputationRep:
    I'm struggling to understand the process of tackling a random 1st order differential equation.

    I know the following 5 methods of tackling 1st ODEs: Direct integration, separating variable, substituting y=vx (for homogeneous equations), using integrating factor for linear 1st ODE, and also bernoulli equation method.

    And I understand you would look at the form of the equation and apply one of the above methods appropriately.

    Where my question comes in is, what about exact and non exact differential equations? Where do they fit into this? Are you meant to test any equation for exactness before doing anything else? And only if its not exact then apply one of the 5 methods above??

    Thanks so much )
    Offline

    3
    ReputationRep:
    (Original post by Lid-the-squid)
    Where my question comes in is, what about exact and non exact differential equations? Where do they fit into this? Are you meant to test any equation for exactness before doing anything else?
    You should be able to do this by inspection in a matter of a few seconds. Although you should be able to identify the other 5 in a matter of a few seconds as well, they all follow basic forms of the ODE, just learn them.
    Offline

    3
    ReputationRep:
    for exact equations, even in an exam, the typical question would present an equation, ask you to verify it is exact (or otherwise) and if it is, solve it - but as Phichi indicates - the speed of identification comes with practice!
 
 
 
Poll
How are you feeling about your A-level results?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

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

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