First Oder Linear Differential Equation

Discussion in 'Math' started by Lightfire, Jan 11, 2014.

  1. Lightfire

    Thread Starter Well-Known Member

    Oct 5, 2010
    690
    21
    [​IMG]

    I knew the answer would be

    [​IMG]

    [​IMG]

    But I do not know how the step-by-step process.

    The integrating factor is something like, based from what I know is:

    [​IMG]

    [​IMG]

    But how do I evaluate the last or is it the final asnwer. Or am I totally incorrect at the first place or is the given a First Oder Linear Differential Equation?

    Thank you~!
     
  2. t_n_k

    AAC Fanatic!

    Mar 6, 2009
    5,448
    782
    It's reasonable to make the observation that the solution would be of the general form:

    y=a_0+a_1x+a_2x^2+a_3x^3+...

    After an intuitive truncation of the general form, substitution into the original equation should enable the solution of the unknown co-efficients.

    One might also ask the question is this actually a linear DE example? This might explain why it can't be solved by your proposed method.
     
    Last edited: Jan 13, 2014
    Georacer likes this.
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