Solve dU/dT = 1(1-U) using seperation of variables.

Hi all, just a problem I'm having trouble with - thanks

1) consider the differential equation dU/dT = 1(1-U) for t greater than or equal to 0 to infinity.

Using the method of separation of variables show that the general solution of the differential equation is

U(t) = e^t / (A + e^t)

where A is an arbitrary constant.

My attempt: I trouble the 1(1-U) over with the dU and using partial fractions solved for log |U| + log |1-U| C(1) = t + C(2)

This is as far as i got, please help!

Re: Differential Equations

Re: Differential Equations

that's exactly where I got stuck, I know it's simple algebra but ive been up all night working for my exam and my brain is just a fuzz right now

could you please point it out

Re: Differential Equations