Lahenda y=1/8sin(x/5)

$$y = \frac { 1 } { 8 } \sin ( \frac { x } { 5 } )$$

Lahendage ja leidke x (complex solution)

$$x=-5i\ln(i\sqrt{64y^{2}-1}+8iy)+10\pi n_{1}\text{, }n_{1}\in \mathrm{Z}$$

$$x=-5i\ln(-i\sqrt{64y^{2}-1}+8iy)+10\pi n_{2}\text{, }n_{2}\in \mathrm{Z}$$

Lahendage ja leidke x

$$x=5\left(\arcsin(8y)+2\pi n_{1}\right)\text{, }n_{1}\in \mathrm{Z}$$

$$x=5\left(-\arcsin(8y)+2\pi n_{2}+\pi \right)\text{, }n_{2}\in \mathrm{Z}\text{, }|y|\leq \frac{1}{8}$$

Lahendage ja leidke y

$$y=\frac{\sin(\frac{x}{5})}{8}$$