Question

Please look in comments for cleaner version or ask me to post it again.

dy/dt = k2 x(null)*e^(-k1*t)-k3*y/(y+M)

I have no idea how to approach this diff EQ

Answer 1

this is implicit differentation, I can show you how to solve this but you need to write the equation in a way so it is easier to understand

Answer 2

Ok

Answer 3

just use equation editor use these brackets to show exponents {}

Answer 4

\[dy/dt= k_{2}\times x_{0} \times e^{-k_{1}*t} - (k_{3} y(t))\div(y+M)\]

Answer 5

Better?

Answer 6

yes :)

Answer 7

Ok this question looks more complicated than what I can handle you better ask in chat :L

Answer 8

Yeah, its the function of y that is throwing me off

Answer 9

Does anyone have any ideas of how to approach it? I'm stuck haha

Answer 10

dy/dt = k(2x^0)(e^-k1t) - (k3y/y) + M is this the equation?

Answer 11

Yeah sorry I guess the equation editor form doesn't work in the question field

Answer 12

\[dy/dt = k_{2} x_{0}e^{-k_{1}t}-k_{3}y/(y+M)\]

Answer 13

http://www.wolframalpha.com/input/?i=differentiate+dy%2Fdt+%3D+k%282x%5E0%29%28e%5E-k1t%29+-+%28k3y%2Fy%29+%2B+M

Answer 14

maybe this will help

Answer 15

wolfram happens to be terrible with many DE's

Answer 16

Yeah, I can't get it into any proper form

Answer 17

i know

Answer 18

and why did you write "differentiate" ?

Answer 19

Yeah, I don't think Wolfram alpha can do this one, I've already tried using DSolve as well

Answer 20

this is what my professor told me to do

Answer 21

just to write it super clear\[\large \frac{dy}{dt}=k_2x_0e^{-k_1t}-{k_3y\over y+M}\]and M, x0, and the k's are all constant?

Answer 22

Correct, how did you format the division like that?

Answer 23

there are two ways
{x\over y}\or
\frac{x}{y}

Answer 24

O, thanks. Any ideas for the problem?

Answer 25

If I had an idea I'd say it
I'm just trying to make sense of it :/

Answer 26

O sorry, its an equation modeling alcohol consumption, y is a function of t and represents the level of alcohol in the blood at time t

Answer 27

Its a cascading problem where x(t) represents blood in the stomach/G.I. track, and I already solved for x(t) and plugged it into dy/dt

Answer 28

calling for help:
@lalaly
she's not online, you may have to post this the the section "L differential eqns", but that section is slow so you may have to wait a day or so for a response.

Answer 29

Alright, thanks a lot.

Answer 30

Sorry, how to I find that section?

Answer 31

Nvm found it