# Thread: Solution of Equation Involving Cosh

1. ## 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:

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

I was wondering if this equation can be solved for x?

2. Originally Posted by sael
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:

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

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)

3. Originally Posted by Anonymous1
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?

4. Originally Posted by sael
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 ]