Question

ODE's

How do I get the solution of y'=y ?

Answer 1

I did this
\[dy=ydx\\y=yx\\x=1\]
but something doesn't feel right..

Answer 2

Maybe if you write it like this you'll see it
\[\huge \frac{dy}{dx}=y \\ \\ \huge \frac{1}{y}dy=dx \\ \\ \huge \ln(y)=x+c\]

Answer 3

Then\[\huge y=e^{x+c}\]

Answer 4

Ahh I see, I needed to have "like" terms on each side of the =, like seperable ODEs