Results 1 to 2 of 2

Math Help - matrix and differential eqn-help!

  1. #1
    n22
    n22 is offline
    Member
    Joined
    May 2013
    From
    england
    Posts
    100

    matrix and differential eqn-help!

    Hi,
    I am finding hard to understand this question logicallly. Please help.
    I know its in minus out ..but im not getting it.
    Thanks asap.
    Two tanks, each containing 200 litres of a mixture, are connected as shown in
    Fresh water is pumped into tank A at a rate of 15 L/min. Further, the mixture is
    pumped from tank A to tank B at a rate of 20 L/min, and from tank B to tank A at 5 L/min.
    Water then flows out of tank B at the rate of 15L/min. Suppose that initially tank A contains 60
    grams of salt while tank B contains pure water
    Find a system of differential equations modelling the situation.(obviously later i have to put it into a matrix)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,163
    Thanks
    761

    Re: matrix and differential eqn-help!

    Hey n22.

    Hint: Think about the individual changes. As an example if water is being pumped into tank A at 15L/min then dVwater_a/dt = 15 for this component.

    Now try and get all the components together in a system for water and also for salt and have the total volume be the volume of water plus the volume for salt.

    In other words, handle salt and water separately and then combine them later if need be.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. using matrix-differential eqns-help exam quite soon
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: June 12th 2013, 05:56 PM
  2. I need help for this matrix differential equation!
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: October 16th 2012, 11:10 AM
  3. Matrix Exponentials to solve Differential Equations...
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: November 23rd 2009, 10:21 AM
  4. Differential equations in matrix form
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: April 7th 2009, 02:19 AM
  5. Replies: 2
    Last Post: February 17th 2008, 11:07 AM

Search Tags


/mathhelpforum @mathhelpforum