Can g(x) be found to satisfy this differential equation?

[adoado]

Hello all,

While just mucking around and trying to get my head around some calculus topics we were doing in class, I came across the following problem. Is there a way to find a function g(x) such that it satisfies below?

{\operatorname{d}t\over\operatorname{d}g}-g(t)=j(t)

I have no real experience in solving these types of equations; basically I am just curious to what style g(x) must be in order to satisfy this, and also, how to go about solving it if it's possible...

Cheers,
Adrian

 

[g_edgar]

Maybe make it into a differential equation for g as a function of t ...
<br /> \frac{d g(t)}{dt} = \frac{1}{j(t)-g(t)}<br />