Question

Differential Equation Question:

Answer 1

how can i verify if this function is a soution of the given DEquation?

Answer 2

do i need to eliminate the arbitrary constants first? c sub 1?

Answer 3

You have P
Find 1-P
Find the 1st Derivative of P
Multiply P and (1-P)
See if that last step also creates the derivative.

Answer 4

no dont eliminate the constants... you could arbitrarily give them a value if it helps
let c1 = 1 for example

Answer 5

okay. im trying to solve it now

Answer 6

so the first derivative of P is \[(c _{1}e ^{t})/(1+c _{1}e ^{t})\] . is this correct?

Answer 7

ill try @dumbcow 's idea next. after tkhunny's.

Answer 8

the denominator should be squared...then its correct

Answer 9

oh right forgot to.

Answer 10

ok. i got it. answer on deriving it and pluggin it in the equation is the same. Thanks to both of you!

Answer 11

:)

Answer 12

btw. i became a fan :) thanks again