MATLAB: Cannot solve a hyperbolic equation

equationhyperbolic

Hi,
I am trying to solve following equation using Matlab:
And here is my code:
syms z g;
eq1=z*sinh(790*g)==(12.3+i*1.49*10^-3);
eq2=tanh(395g)==z*(1.8*10^-9);
solve(eq1,eq2,z,g)
but I get following error:
Warning: Cannot solve symbolically. Returning a numeric approximation instead. 
> In solve at 306 
ans = 
      z: [1x1 sym]
      g: [1x1 sym]
What I am doing wrong here?

Best Answer

For one, you left out a multiplication operator (*) in ‘eq2’. The numeric output is appropriate, since you’re identifying ‘Z0’ and ‘gamma’.
The code (corrected):
syms z g;
eq1=z*sinh(790*g)==(12.3+1i*1.49E-3);
eq2=tanh(395*g)==z*(1.8E-9);
[z,g] = solve(eq1,eq2,z,g)
produces:
z =
58452.259506186817111402883076281 + 3.5404010317307016714429740047407i
g =
0.00000026636472784652195740050195875373 + 0.000000000016133473234585554676003727620685i
Use the vpa or vpasolve functions if you don’t want quite so many digits.
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