1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Simple differential equation

  1. Nov 1, 2008 #1
    1. The problem statement, all variables and given/known data

    How would you solve

    [tex]2=\frac{v(t)}{10}+\frac{\int{v(t)}}2[/tex]


    Thanks for your help
     
  2. jcsd
  3. Nov 1, 2008 #2

    LowlyPion

    User Avatar
    Homework Helper

    Try rearranging the equation.

    [tex]\int{v_{(t)} = 4 - \frac{v_{(t)}}{5}[/tex]

    What function do you know that will yield this kind of result?
     
  4. Nov 2, 2008 #3
    I know the answer is 20e^(-5t) by just taking the 1/10 out from the v(t), and the k on top of the exponential is negative 10/2 but I don't know the solving mechanism


    My calc book only has one example and it is when it equals a function and not a constant in the first equation, so I can just differentiate the equation to get rid of the integral

    The answer should be in the form A+Bexp(-kt)
    A is zero for this equation but can I find B without any initial conditions?
     
  5. Nov 2, 2008 #4

    LowlyPion

    User Avatar
    Homework Helper

    [tex]\int{v_{(t)} = 4 - \frac{v_{(t)}}{5}[/tex]

    Taking the common integral of e you can start with this

    [tex]\int{e^{(ct)} = \frac{e^{ct}}{c}[/tex]

    http://en.wikipedia.org/wiki/List_of_integrals_of_exponential_functions
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Simple differential equation
  1. Differential Equations (Replies: 1)

  2. Differential Equations (Replies: 4)

Loading...