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An answer I get with the Bernoulli Method doesn't check

  1. Jan 28, 2013 #1
    When I plug what I get for y back into the original Eq. to check it, it doesn't pass. I did something wrong somewhere but it all seems right to me. Where did I go wrong?

    HE1iDMn.jpg
     
  2. jcsd
  3. Jan 28, 2013 #2

    Mute

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    Homework Helper

    You made a mistake in going from the first line to the second: you divided by ##3(1+x^2)## but did not distribute the division to the ##2xy^4## term. Your second line should look like

    $$\frac{dy}{dx} +\frac{2xy}{3(1+x^2)} = \frac{2xy^4}{3(1+x^2)}.$$

    Try your calculation again and see if it works out.
     
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