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Math Help - SDE

  1. #1
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    SDE

    Solve the differential equation
    Use the initial condition .
    Express in terms of .
    .
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by charlottepanther View Post
    Solve the differential equation
    Use the initial condition .
    Express in terms of .
    .
    this is a separable differential equation. note that you can write it as y^{17}~dy = \frac {1 + x}x~dx

    now integrate both sides and you should be able to take it from there
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  3. #3
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    So would it be:

    y^18/18 = lnx+x

    and then separate the y?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by charlottepanther View Post
    So would it be:

    y^18/18 = lnx+x

    and then separate the y?
    it would be \frac {y^{18}}{18} = \ln x + x + C

    find C by using the initial condition. then you can solve for y^{18}
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  5. #5
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    alright so y(1)=6

    (6)^18/18 = ln(1)+1+C

    5.64222*10^12 = 1+ C

    Now What?
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by charlottepanther View Post
    alright so y(1)=6

    (6)^18/18 = ln(1)+1+C

    5.64222*10^12 = 1+ C

    Now What?
    now you solve for C, plug it into the solution and solve for y^{18} ...
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  7. #7
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    Thanks for all the help. I end up with this answer.

    (lnx +x+5642220000000)/18

    but it is not accepted
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  8. #8
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by charlottepanther View Post
    Thanks for all the help. I end up with this answer.

    (lnx +x+5642220000000)/18

    but it is not accepted
    of course not. that's wrong
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  9. #9
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    Quote Originally Posted by Jhevon View Post
    of course not. that's wrong
    Haha, I am sorry I see what I did. I should have multiplied. Thanks for the help.

    Jah Bless
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