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Homework Help: Differential equations - finding constants

  1. Feb 13, 2010 #1
    Find values of the constants a and k so that y(x) = ax^k solves the differential equation;

    (dy/dx)^2 + [(3y^2)/(x^2)] + [(2y)/(x^4)]

    I tried substituiting ax^k into the DE but it did not work. I need to separate x and y but I cannot do it then I need to integrate it I think. I just don't know how to go about this question.

  2. jcsd
  3. Feb 13, 2010 #2
    I see no equation, only an expression. I guess you mean that this expression equals zero?

    Please show what you've done so far with substitution
  4. Feb 13, 2010 #3


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    Hi shinobiazra! :smile:

    (try using the X2 tag just above the Reply box :wink:)
    No, there's no integration, all you need to do is differentiate.

    If y = axk, what is dy/dx? :smile:
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