Question

Tricky Separable Equation
dx/dt-lnx=x

Answer 1

\[\frac{ dx }{ dt }-\ln x=x\]

Answer 2

there isn't even a Y in the equation! this problem requires black magic

Answer 3

there is x and t

Answer 4

There doesn't have to be a \(y\), \(x\) is given as the dependent variable, and \(t\) the independent

Answer 5

I don't suppose it helps to notice that it's separable?

Answer 6

ohhh one of those different variable problems

Answer 7

like the y could be s t m k but the process is still the same

Answer 8

okay gotcha sorry guys, math is a second language to me, first semester back taking DE

Answer 9

dx/dt=lnx + x

and integrate both sides?

Answer 10

errr no ._.

Answer 11

gomenasai

Answer 12

dx/(lnx + x) = dt
Now integrate. But I don't expect that'll yield any results. Maybe integration by parts?

Answer 13

That is, if you want a solution in closed form.

Answer 14

sorry long night for me xx.xx

Answer 15

i just need the implicit solution

Answer 16

but it is a separable equation.... and after you do that integrate both sides....

Answer 17

implicit would be some thing like dsfjkslfsdkjdsaf = C

Answer 18

please assist with the integration by parts if possible, my math is kind of iffy

Answer 19

udv = uv - integral symbol (duv)
we need to find the u du v dv in this

Answer 20

welll....

Answer 21

-_- don't be pushy

Answer 22

give me 100000 seconds i will work it out on paper rarity.

Answer 23

use wolfram

Answer 24

that IS FORBIDDEN in the math kingdom, that my DE prof rules in

Answer 25

xt/(x+lnx)+c

Answer 26

this isn't right

Answer 27

or is it?

Answer 28

i think my prof gave the class an unanswerable question