\frac{d}{d t } \left( { x }^{ } \right) +tx = { \left(tx \right) }^{ 3 }
Ebatzi: t (complex solution)
\left\{\begin{matrix}\\t=0\text{, }&\text{unconditionally}\\t=\frac{1}{x}\text{; }t=-\frac{1}{x}\text{, }&x\neq 0\\t\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Ebatzi: x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{1}{t}\text{; }x=-\frac{1}{t}\text{, }&t\neq 0\\x\in \mathrm{C}\text{, }&t=0\end{matrix}\right.
Ebatzi: t
\left\{\begin{matrix}\\t=0\text{, }&\text{unconditionally}\\t=\frac{1}{x}\text{; }t=-\frac{1}{x}\text{, }&x\neq 0\\t\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Ebatzi: x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{1}{t}\text{; }x=-\frac{1}{t}\text{, }&t\neq 0\\x\in \mathrm{R}\text{, }&t=0\end{matrix}\right.
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