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Math Help - first ODE course first quiz

  1. #1
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    first ODE course first quiz

    We had a quiz and there were two versions so you didn't have the same as your neighbor
    I could do the other one, but the one I was assigned seemed much more difficult
    Is there something I'm missing here? because I can't seem to do this one

    Find the general solution of xsin(x+y)y' + xsin(x+y) = cos(x+y)
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  2. #2
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    Looks exact to me.
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  3. #3
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    Quote Originally Posted by jbpellerin View Post
    We had a quiz and there were two versions so you didn't have the same as your neighbor
    I could do the other one, but the one I was assigned seemed much more difficult
    Is there something I'm missing here? because I can't seem to do this one

    Find the general solution of xsin(x+y)y' + xsin(x+y) = cos(x+y)
    Try a change of variable, put u=x+y, then:

     <br />
\frac{du}{dx}=1+\frac{dy}{dy}<br />

    so the equation becomes:

    x \sin(u) u'= \cos(u)

    CB
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