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Math Help - solving an nonlinear exp equation

  1. #1
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    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.
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  2. #2
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    Quote Originally Posted by sheikhnir View Post
    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.
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  3. #3
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    You could graph each term separately and find an approximate solution using an addition of ordinates, I don't see this one solved algebraically.
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  4. #4
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    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
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  5. #5
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    actually we cant say it solve, find an expression for x.
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