Solve for x (complex solution)
x=\frac{-i\ln(\frac{i\left(\sqrt{y^{2}-4}+y\right)}{2})+\pi }{4}+\frac{\pi n_{1}}{2}\text{, }n_{1}\in \mathrm{Z}
x=\frac{-i\ln(\frac{-i\sqrt{y^{2}-4}+iy}{2})+\pi }{4}+\frac{\pi n_{2}}{2}\text{, }n_{2}\in \mathrm{Z}
Solve for y (complex solution)
y=ie^{-4ix+\pi i}-ie^{4ix-\pi i}
Solve for x
x=\frac{-\arcsin(\frac{y}{2})+2\pi n_{1}}{4}\text{, }n_{1}\in \mathrm{Z}
x=\frac{\arcsin(\frac{y}{2})+2\pi n_{2}+\pi }{4}\text{, }n_{2}\in \mathrm{Z}\text{, }|y|\leq 2
Solve for y
y=-2\sin(4x)
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