Hey there! Sign in to join this conversationNew here? Join for free
    • 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

    5
    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

    14
    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!
 
 
 
  • 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
    Would you rather give up salt or pepper?
    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
  • 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

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