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Math Help - Differential eqn notation

  1. #1
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    Differential eqn notation

    Hi guys,

    I'm having a little trouble with this differential equation, I'm not even sure where to start

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

    Does it mean y is a function of x? Or is it simply a product written in a strange way? Any help on where to go next would be greatly appreciated

    Stonehambey
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  2. #2
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    It's ambiguous. Just solve \frac{dy}{dx}=1+y^2. Ok, now just separate variables and integrate both sides. You can do that right? The equation:

    \frac{dy}{dx}=xy^2+1 I think is a little more difficult.
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  3. #3
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    looks to me like y^2 as a function of x ... if it was multiplication, wouldn't it be written as xy^2 ?

    makes it easier to find a solution anyway.
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  4. #4
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    Thanks, I had guessed y as a function of x, makes it easier to solve anyway I would have to look up how to solve it if it wasn't, or ask here, hehe

    The question was from a friend of mine, so I wasn't sure what context the question was set in. I know different areas of mathematics can have different notation so I thought I'd see what people here thought.
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