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Differential Equation Involving Newtons Law of Motion

  1. Jan 24, 2013 #1
    1. The problem statement, all variables and given/known data

    mv'=-gm-kv

    Find the position function using the initial coniditions of t=0 for all Constants

    2. Relevant equations
    Reverse product rule



    3. The attempt at a solution

    My attempt is on my white board. Its attached as a picture.
     

    Attached Files:

  2. jcsd
  3. Jan 24, 2013 #2

    Dick

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    You've got some problems there. For example the integral of vdt isn't equal to v*t. v is a function of t. Why don't you try to solve mv'=-gm-kv using separation of variables?
     
  4. Jan 25, 2013 #3

    HallsofIvy

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    From mv'= m dv/dt= -gm- kv, you can get m dv/(gm+kv)= -dt, separating the variables "v" and "t". Integrate both sides of that.
     
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