# Thread: Finding a function y of x

1. ## 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?

2. Originally Posted by ascendancy523
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.