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Math Help - Differential equations

  1. #1
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    Differential equations

    I have to find the general solution of this differential equation giving the explicit form where possible. Problem is I forgot how to.

    \frac{dy}{dx} = y
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  2. #2
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    e^(i*pi)'s Avatar
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    Quote Originally Posted by Beard View Post
    I have to find the general solution of this differential equation giving the explicit form where possible. Problem is I forgot how to.

    \frac{dy}{dx} = y
    I'd separate the variables

    \frac{dy}{y} = dx

    Which can be integrated, but don't forget your +C
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  3. #3
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    Quote Originally Posted by e^(i*pi) View Post
    I'd separate the variables

    \frac{dy}{y} = dx

    Which can be integrated, but don't forget your +C
    Thats what is normal but i'm looking for the general solution which isn't that ..... if you can understand
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  4. #4
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    well...
    you will have to integrate both sides and then you will get a general exprsesion in terms of y. I hope you havnt forgotten how to integrate.
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  5. #5
    Senior Member Twig's Avatar
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    hi

     \frac{dy}{y}=dx

    Now integrate both sides. What is the integral of
     \frac{1}{y} ?

    You will end up with the general solution, but you won´t be able to
    determine the value of the constant without any inital value or something.
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