Riješi v=-g/1left(1+cos({x}_{1})right)+1/2{left({x}_{2}right)}^2

$$v = - \frac{ g }{ 1 } \left( 1+ \cos ( { x }_{ 1 } ) \right) + \frac{ 1 }{ 2 } { \left( { x }_{ 2 } \right) }^{ 2 }$$

Riješite za g

$$\left\{\begin{matrix}g=\frac{x_{2}^{2}-2v}{2\left(\cos(x_{1})+1\right)}\text{, }&\nexists n_{1}\in \mathrm{Z}\text{ : }x_{1}=2\pi n_{1}+\pi \\g\in \mathrm{R}\text{, }&v=\frac{x_{2}^{2}}{2}\text{ and }\exists n_{1}\in \mathrm{Z}\text{ : }x_{1}=2\pi n_{1}+\pi \end{matrix}\right,$$

Riješite za v

$$v=\frac{-2g\cos(x_{1})+x_{2}^{2}-2g}{2}$$