Numerical solution to a larger equation.

Question

Prasenjit Dewanjee 2023-4-4

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评论： Dyuman Joshi 2023-4-5

Hi!

I have a very large and complicated equation:

sinh(5.9605e-08*(((1.1259e+15*lamda2^2 + 7.5126e+15)^2)^(1/2) + 7.5126e+15)^(1/2))*sin(2*lamda2)*(lamda2^2 + 8.8818e-16*((1.1259e+15*lamda2^2 + 7.5126e+15)^2)^(1/2) + 6.6725)=0

I need to solve for lamda2. Matlab is unable to solve this. I am getting only 0 as answer. It should not be zero.

Any help will be appreciated.

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Dyuman Joshi 2023-4-5

"Matlab is unable to solve this."

What makes you think so? How did you try to solve it?

"It should not be zero."

Why not? Zero is a root to the equation.

There are infinite solutions to the equation as mentioned by @Alex Sha below, Which other values do you want as the solution?

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Answer 1

Torsten 2023-4-5

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编辑：Torsten 2023-4-5

在 MATLAB Online 中打开

What is the zero of your choice ?

fun = @(lamda2)sinh(5.9605e-08*(((1.1259e+15*lamda2^2 + 7.5126e+15)^2)^(1/2) + 7.5126e+15)^(1/2))*sin(2*lamda2)*(lamda2^2 + 8.8818e-16*((1.1259e+15*lamda2^2 + 7.5126e+15)^2)^(1/2) + 6.6725);

lamda2 = -3.2:0.001:3.2;

flamda2 = arrayfun(@(lamda)fun(lamda),lamda2);

plot(lamda2,flamda2)

grid on