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Math Help - Odinary Differential Equation Question Help!

  1. #1
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    Odinary Differential Equation Question Help!

    Hi, I really need help on this ODE question.
    Odinary Differential Equation Question Help!-untitled.jpg
    Thanks,
    Sofina
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  2. #2
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    Re: Odinary Differential Equation Question Help!

    Hey sofv66.

    Show us what you have tried.
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  3. #3
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    Re: Odinary Differential Equation Question Help!

    So, dy/dx=3y^2/3
    int y^-2/3 = int 3
    3y^1/3 = 3x +c
    y=(x+c)^3
    is all I have done.
    Can you help me to finish the question please.
    Thank you.
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  4. #4
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    Re: Odinary Differential Equation Question Help!

    I'm guessing that this function is defined only for an initial value onwards.

    If this is the case, you need to substitute in your initial value into your function to obtain a value of c and show that the function has the right form.

    So your initial value is at x = a with f(a) = b.

    You can say that for this problem, you only define function from the initial value onwards to justify the zero before x = a.
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  5. #5
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    Re: Odinary Differential Equation Question Help!

    Odinary Differential Equation Question Help!-untitled.jpg


    can you solve this and you will get the result of
    arctan(α/s)
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