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Homework Help: Please check my work (find general solution of DE)

  1. Apr 18, 2010 #1
    1. The problem statement, all variables and given/known data
    "find the general solution of the equation: y'' + 3y' + 2y = 0

    characteristic is:
    r^2 + 3r + 2 = 0

    solve quadratic:
    (r+2)(r+1)

    r = -2
    r= -1

    therefore GS of equation is: y = c_1e^-2x + c_2e^-x

    thanks for any help

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Apr 18, 2010 #2

    Mark44

    Staff: Mentor

    This is easy enough to check. For you solution, it should be that y'' + 3y' + 2y = 0. If so, your solution is correct.
     
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