Solve for k
\left\{\begin{matrix}\\k=0\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&T=0\end{matrix}\right.
Solve for T
\left\{\begin{matrix}\\T=0\text{, }&\text{unconditionally}\\T\in \mathrm{R}\text{, }&k=0\end{matrix}\right.
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kT=-\frac{\mathrm{d}}{\mathrm{d}t}(T)
Subtract \frac{\mathrm{d}}{\mathrm{d}t}(T) from both sides. Anything subtracted from zero gives its negation.
Tk=0
The equation is in standard form.
k=0
Divide 0 by T.
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