Επίλυση t_{1}=frac{ln(frac{x_{m}}{x_{0}}-1)-1317}{r_{0}}

$$t _ { 1 } = \frac { \ln ( \frac { x _ { m } } { x _ { 0 } } - 1 ) - 1317 } { r _ { 0 } }$$

Λύση ως προς r_0 (complex solution)

$$\left\{\begin{matrix}r_{0}=\frac{\ln(\frac{x_{m}-x_{0}}{x_{0}})-1317}{t_{1}}\text{, }&x_{m}\neq e^{1317}x_{0}+x_{0}\text{ and }t_{1}\neq 0\text{ and }x_{m}\neq x_{0}\text{ and }x_{0}\neq 0\\r_{0}\neq 0\text{, }&t_{1}=0\text{ and }x_{0}=\frac{x_{m}}{e^{1317}+1}\text{ and }x_{m}\neq 0\end{matrix}\right,$$

Λύση ως προς t_1 (complex solution)

$$t_{1}=\frac{\ln(\frac{x_{m}-x_{0}}{x_{0}})-1317}{r_{0}}$$

$$r_{0}\neq 0\text{ and }x_{m}\neq x_{0}\text{ and }x_{0}\neq 0$$

Λύση ως προς r_0

$$\left\{\begin{matrix}r_{0}=\frac{\ln(\frac{x_{m}-x_{0}}{x_{0}})-1317}{t_{1}}\text{, }&x_{m}\neq e^{1317}x_{0}+x_{0}\text{ and }t_{1}\neq 0\text{ and }x_{m}\neq x_{0}\text{ and }\left(x_{m}<x_{0}\text{ or }x_{0}>0\right)\text{ and }\left(x_{0}<0\text{ or }x_{m}>x_{0}\right)\text{ and }x_{0}\neq 0\\r_{0}\neq 0\text{, }&t_{1}=0\text{ and }x_{0}=\frac{x_{m}}{e^{1317}+1}\text{ and }x_{m}\neq 0\end{matrix}\right,$$

Λύση ως προς t_1

$$t_{1}=\frac{\ln(\frac{x_{m}-x_{0}}{x_{0}})-1317}{r_{0}}$$

$$\left(r_{0}\neq 0\text{ and }x_{m}<x_{0}\text{ and }x_{0}<0\right)\text{ or }\left(r_{0}\neq 0\text{ and }x_{m}>x_{0}\text{ and }x_{0}>0\right)$$