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Thread: integration coefficient method eproach problem

  1. October 21st 2010, 10:12 AM #1
    transgalactic
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    integration coefficient method eproach problem

    (x+2e^{3y})\frac{dy}{dx}=1

    (x+2e^{3y})dy=dx

    (x+2e$^{3y})dy-dx=0

    X_{y}\neq Y_{x}

    \frac{-X_{y}+Y_{x}}{X}=\frac{1}{-1}=-1

    m'-m=0

    m=ce^{-x}

    (x+2e^{3y})e^{-x}dy-e^{-x}dx=0

    it gets much more complicated from here
    is there any easier approach
    ?
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  2. October 21st 2010, 01:57 PM #2
    zzzoak
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    <br /> (x+2e^{3y})dy -dx=0<br />
    Multiplying both sides by e^(-y)

    <br /> (xe^{-y}+2e^{2y})dy -e^{-y}dx=0<br />

    Now test please

    <br /> X_{y} \; and \; Y_{x}<br />
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« epproach on solving this equation | y'=(x^2+y^2)^(3/2) »

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