Is my answer for this: Attachment 30556 right? The initial conditions thing is really messing with me because I'm not sure if I'm doing anything right now :/ If I'm wrong which option works? Why? Thank you all so much!

- Mar 28th 2014, 12:22 PMcanyouhelpSeparating Variables? (Sorry everyone! Now I'm totally done :))
Is my answer for this: Attachment 30556 right? The initial conditions thing is really messing with me because I'm not sure if I'm doing anything right now :/ If I'm wrong which option works? Why? Thank you all so much!

- Mar 29th 2014, 07:12 PMHallsofIvyRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
No, your answer is not correct. How did you attempt it?

- Mar 30th 2014, 06:10 AMcanyouhelpRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
- Mar 30th 2014, 06:35 AMromsekRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
post some work

- Mar 31st 2014, 05:37 AMhollywoodRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
You should be able to show us the equation with variables separated (functions of y and dy on one side, functions of x and dx on the other).

- Hollywood - Mar 31st 2014, 07:56 AMcanyouhelpRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
- Apr 1st 2014, 08:12 AMhollywoodRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
Which integrates to $\displaystyle -\frac{1}{3}e^{-3y}=\frac{1}{2}e^{2x}+C$. Now you use the initial condition y(0)=1 to find C:

$\displaystyle -\frac{1}{3}e^{-3}=\frac{1}{2}e^{0}+C$

$\displaystyle C=-\frac{1}{3}e^{-3}-\frac{1}{2}$

So your solution is $\displaystyle -\frac{1}{3}e^{-3y}=\frac{1}{2}e^{2x}-\frac{1}{3}e^{-3}-\frac{1}{2}$ which is not one of the options.

- Hollywood - Apr 1st 2014, 11:18 AMcanyouhelpRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
- Apr 1st 2014, 05:21 PMhollywoodRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
No, I think that's the correct solution. It was probably supposed to be option #3 or #4.

- Hollywood - Apr 1st 2014, 05:33 PMcanyouhelpRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
- Apr 1st 2014, 09:02 PMDanielPeytonRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
That does offer you quality of life I work full-time I manage our company and I what I really feel strongly now and feel like I can go back into uh... give at one hundred Raspberry Ultra Drops percent anchorage anyone that's whether they have gone through art the treatments offered in the states or whether they have not if they'd been diagnosed in with cancer I am courage everyone to at least look at their possibilities make that phone call and inquire about the hours that his treatment because it is an alternative that will provide.

Raspberry Ultra Drops Review - GET FREE TRIAL SUPPLIES LIMITED!!! - Apr 1st 2014, 09:03 PMDanielPeytonRe: Separating Variables? (Sorry everyone! Now I'm totally done :))
That does offer you quality of life I work full-time I manage our company and I what I really feel strongly now and feel like I can go back into uh... give at one hundred Raspberry Ultra Drops percent anchorage anyone that's whether they have gone through art the treatments offered in the states or whether they have not if they'd been diagnosed in with cancer I am courage everyone to at least look at their possibilities make that phone call and inquire about the hours that his treatment because it is an alternative that will provide.

Raspberry Ultra Drops Review - GET FREE TRIAL SUPPLIES LIMITED!!!