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Homework Help: Differential Equation Find m

  1. Sep 18, 2009 #1
    1. The problem statement, all variables and given/known data

    Find the values of m so that the function [tex]y = e^{mx}[/tex] is a solution of the given differential equation.

    2. Relevant equations

    [tex]y = e^{mx}[/tex]
    [tex]5y^{'} = 2y[/tex]

    3. The attempt at a solution

    I am not sure if this is right:

    [tex]y^{'} = me^{mx}[/tex]

    [tex]5y^{'} = 5me^{mx}[/tex]
    [tex]2y = 2e^{mx}[/tex]

    [tex]2e^{mx} = 5me^{mx}[/tex]

    [tex]2 = 5m[/tex]

    [tex]m = 2/5[/tex]
  2. jcsd
  3. Sep 18, 2009 #2


    Staff: Mentor

    Check it and see. You've already done all the hard work, and checking is a simple matter of seeing whether y = e2x/5 satisfies your differential equation.
  4. Sep 18, 2009 #3
    Ok, Thank you.
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