How can y be solved for given x and all A coefficients in the transfer function?

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To solve for y in the given transfer function, one can use numerical methods such as iteration or graphical analysis. The equation is complex due to the presence of multiple sine terms, making analytical solutions challenging. Iterative methods, like the Newton-Raphson method, can provide approximate solutions by refining guesses for y based on the known value of x and coefficients A. Graphical methods involve plotting the function and visually identifying intersections with the line representing x. Both approaches require careful consideration of the function's behavior to ensure convergence to a valid solution for y.
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If I have the following transfer function:

x = A1 + A2*y + A3*sin(A4*y + A5) + A6*sin(A7*y + A8) +A9*sin(A10*y + A11) +A12*sin(A13*y + A14)

I know x and all the A coefficients, how would one solve for y?
 
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Either graphically or by iteration.
 
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