Hey /sci/
I need help integrating this and solving for y as a function of x
>pic related
I will post a few more things to explain the physics behind what I'm actually trying to do, but the problem can be boiled down to solving what's on that picture.
Thanks!
>>8542699
just punch it into wolfram
>>8542705
I did but for some reason the answer that I get won't allow me to plug in values and obtain a real output. I think wolfram assumes that all the variables can be complex and I don't know how to tell it to calm down.
>here it is
https://www.wolframalpha.com/input/?i=(integrate+dy%2F(a%2B(c-a)*(1-exp(by))))%3Dx
I'll post more about the actual problem. Making some figures now.
OP here,
Ok, here's the explanation of what I'm trying to do (will take a few posts).
I am using 3D seismic data (which are like echos underground) and trying to figure out how deep certain reflectors are.
>pic related
To do this, I need to know the velocities of all the rocks above the reflector I'm interested in.
>more on this in the next post
>>8542699
u sub with u = (c-a)e^(by)
>>8542793
Solved, this gives
[math]
x = \frac{1}{cb} ln((c-a)e^{by}) - \frac{1}{cb}ln(c-(c-a)e^{by})
[/math]
>>8542803
Ultimately solving for y gives
[math]
\frac{c-a}{cb} ln(e^{-cbx}+1) = y
[/math]
>>8542699
Maxima is free, dear.
http://maxima.sourceforge.net/
>>8542827
>Ubuntu
>>8542830
That hurt my feelings.
>>8542827
>y still on the right
You get what you paid for
>>8542835
astounding. Good eye.
>>8542760
>velocities of all the rocks
rocks don't move so these are zero you're welcome