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\[\frac{ dx }{ dt } = \frac{ 1+\sqrt{t} }{ 1+\sqrt{x} }\]

i ended up with something, but I cant explicitly solve for t

The way we were tough is to separate the variables and then integrate each side.

taught*

that's not how we were taught to do it.. http://en.wikipedia.org/wiki/Separation_of_variables

hmm sorry i have not yet learned those so sorry what chapter is this

What chapter? It would depend what textbook. And what class.

i mean name of the chapter

its on ODE's

is this college calculus

yeah calc 2

okay

It's separable, no?

:O
I think it is separable!

Multiply both sides by \(1+\sqrt{x}\).
Integrate with respect to \(t\).