Results 1 to 3 of 3

Math Help - integration problem

  1. #1
    Member
    Joined
    Nov 2010
    Posts
    93

    integration problem

    Hello, I am trying to solve the following question related to my integration course:

    The current I (Amps) in a conductor at time t (seconds) satisfies the law, (dI/dt) + kI = 0, where k is a constant.
    Solve the differential equation by separating the variables to find the general solution.

    My attempt at separating is:

    1. dI + kI = dt
    2. dI + I = dt/k

    Can someone please tell me if and where I have gone wrong ?

    then I am asked:
    if k = 2.5 and the initial current is 3Amps, find the particular solution for the current.
    However I am totally lost on what to do next. I think I should be integrating ?

    Thanks kindly for any help.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Jan 2011
    Posts
    25
    multiplying by dt should have yielded;
    dI+kIdt=0
    now u can easily integrate
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28
    \displaystyle \frac{dI}{dt}+kI = 0

    \displaystyle \frac{dI}{dt}=-kI

    \displaystyle \frac{dI}{I}=-k~dt

    \displaystyle \int \frac{dI}{I}=\int -k~dt

    Continue
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Integration problem
    Posted in the Calculus Forum
    Replies: 7
    Last Post: October 18th 2010, 08:32 AM
  2. Integration problem
    Posted in the Calculus Forum
    Replies: 14
    Last Post: May 24th 2010, 08:44 AM
  3. Integration Problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 20th 2010, 09:56 AM
  4. Replies: 2
    Last Post: February 19th 2010, 10:55 AM
  5. integration problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 23rd 2008, 04:02 PM

Search Tags


/mathhelpforum @mathhelpforum