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Thread: #19 is giving me the runaround... Please help.

  1. #1
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    #19 is giving me the runaround... Please help.

    The folowing equations are a mixture of linear, separable, Bernoulli and homogeneous
    equations. Identify the equation and find the general solution.

    I am not sure what to do with that e^(y/x). Iv tried to get it into the form of a linear differential equation or a bernoulli equation or a seperable equation but that e^(y/x) has me dead in my tracks. What should I be doing?

    #19 is giving me the runaround... Please help.-19.png
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  2. #2
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    Re: #19 is giving me the runaround... Please help.

    It's homogenous: \tfrac{\mathrm dy}{\mathrm dx} = e^{\tfrac y x} + \tfrac y x . Set v=\tfrac y x and substitute.
    Thanks from thatsmessedup
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  3. #3
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    Re: #19 is giving me the runaround... Please help.

    AAAAhaa... thanks, I forgot that if it was homogeneous that sub could be made... THANKS!!
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