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Math Help - Solution of Equation Involving Cosh

  1. #1
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    Solution of Equation Involving Cosh

    Hello,

    In an Engineering Mechanics text they solve an equation by using a graph or by iterating to a solution using a computer. A generalisation of the equation is:

    a/x=\cosh{(b/x)}-1

    I was wondering if this equation can be solved for x?
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  2. #2
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by sael View Post
    Hello,

    In an Engineering Mechanics text they solve an equation by using a graph or by iterating to a solution using a computer. A generalisation of the equation is:

    a/x=\cosh{(b/x)}-1

    I was wondering if this equation can be solved for x?
    Why yes, it can.

    Code:
    >> syms a b x;
    >> solve('a/h = cosh(b/x) - 1',x)
     
    ans =
     
      b/acosh((a + h)/h)
     -b/acosh((a + h)/h)
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  3. #3
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    Quote Originally Posted by Anonymous1 View Post
    Why yes, it can.

    Code:
    >> syms a b x;
    >> solve('a/h = cosh(b/x) - 1',x)
     
    ans =
     
      b/acosh((a + h)/h)
     -b/acosh((a + h)/h)
    How can that work by changing a/x to a/h?
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  4. #4
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by sael View Post
    How can that work by changing a/x to a/h?
    Oops. I accidentally typed in h. Now it can't be solved. Sorry about that.

    Code:
    >> syms a b x
    >> solve('a/x = cosh(b/x) - 1',x)
    Warning: Explicit solution could not be found. 
    >> In solve at 98
     
    ans =
     
    [ empty sym ]
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