Thread: solving an nonlinear exp equation

1. solving an nonlinear exp equation

in my research work I am sticking with a equation like--
A1*exp(a*x)-A2*exp(-a*x)+A3*exp(-x/A)=0
solving for x
how should i proceed if i don want to solve it numerically..
I mean I need some expression for x. what may be the technique to follow.

2. Originally Posted by sheikhnir
in my research work I am sticking with a equation like--
A1*exp(a*x)-A2*exp(-a*x)+A3*exp(-x/A)=0
solving for x
how should i proceed if i don want to solve it numerically..
I mean I need some expression for x. what may be the technique to follow.
In general it cannot be solved analytically, in general it will need to be solved numerically.

3. You could graph each term separately and find an approximate solution using an addition of ordinates, I don't see this one solved algebraically.

4. well the equation actually has not have only one independent variable actually there are two..
let's see like this A1=f(y)
now,
A1*exp(a*x)-A2*exp(-a*x)+A3*exp(-x/A)=0
is it possible to solve like x=f(y)
like as below

if (y+1)exp(-a*x)=1
then x= -ln(1/(y+1))/a

Thanks to all for helping me to understand

5. actually we cant say it solve, find an expression for x.