Originally Posted by

**Craka** Question is to solve $\displaystyle \frac{{dy}}{{dx}} = \frac{y}{x}$

I'm completely lost with these, this is as far as I get and then I'm not sure what to do. I get as far as this

$\displaystyle

\begin{array}{l}

\equiv \int {\frac{{dy}}{y} = \int {\frac{{dx}}{x}} } \\

\equiv \int {\frac{1}{y}dy = \int {\frac{1}{x}dx} } \\

\end{array}

$

i know they need to be integrated from here so

$\displaystyle

\ln {\color{red}|} y {\color{red}|} = \ln {\color{red}|} x {\color{red}|} + c

$

where c is my constant

the answer given in the text is

$\displaystyle

y = kx

$