Results 1 to 4 of 4

Math Help - 1st order ODE help

  1. #1
    Newbie
    Joined
    Jul 2010
    Posts
    10

    1st order ODE help

    T'= k1*exp(k2*t) - k3(T-T0)

    determine T(t), assume that T(-infinity)= T0
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    5
    Awards
    2
    What have you tried so far?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,829
    Thanks
    1602
    I assume this is

    \frac{dT}{dt} = k_1e^{k_2t} - k_3(T - T_0)

    \frac{dT}{dt}= k_1e^{k_2t} - k_3T + k_3T_0

    \frac{dT}{dt} + k_3T = k_1e^{k_2t} + k_3T_0


    This is first order linear, so now use the Integrating Factor method.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jul 2010
    Posts
    10
    I had tried substitution to no avail. Hadn't used the integrating factor method, I'm quite amazed at how easy it is to use. Thanks for your help
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Re-writing higher order spatial derivatives as lower order system
    Posted in the Differential Equations Forum
    Replies: 11
    Last Post: July 27th 2010, 09:56 AM
  2. Replies: 1
    Last Post: October 27th 2009, 05:03 AM
  3. Replies: 2
    Last Post: February 23rd 2009, 06:54 AM
  4. Replies: 2
    Last Post: November 25th 2008, 10:29 PM
  5. Replies: 4
    Last Post: August 12th 2008, 05:46 AM

Search Tags


/mathhelpforum @mathhelpforum