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Math Help - Finding a function y of x

  1. #1
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    Finding a function y of x

    So here's my problem:

    Find a function y of x such that:
    \displaystyle3yy\prime=x and y(3)=5

    any hints on how to start out?
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  2. #2
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    Quote Originally Posted by ascendancy523 View Post
    So here's my problem:

    Find a function y of x such that:
    \displaystyle3yy\prime=x and y(3)=5

    any hints on how to start out?
    3y \cdot \frac{dy}{dx} = x

    separate variables ...

    y \, dy = \frac{x}{3} \, dx

    now integrate.
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