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Math Help - [SOLVED] Solution to differential equation...where do I go from here?

  1. #1
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    Question [SOLVED] Solution to differential equation...where do I go from here?

    Hello all,

    It took me 2 days, but I finally got to the point I am at (see attachment) and now have been asked to solve for C1. I feel like I should cross multiply, but when I do that I get confused and I don't think I am doing something right. I need to get C1 to the left and everything else to the right, correct? But I can't figure a way of doing that-I think I've spent too much time on this problem!

    Thanks for any guidance!
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  2. #2
    MHF Contributor
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    Hi

    Your second line is not correct

    \frac{1}{P(a + bP)} = \frac{A}{P} + \frac{B}{a + bP}

    1 = A (a + bP) + B P

    which leads to A = \frac{1}{a} and B = -\frac{b}{a}
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