Solve for k
\left\{\begin{matrix}\\k=0\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&N=0\end{matrix}\right.
Solve for N
\left\{\begin{matrix}\\N=0\text{, }&\text{unconditionally}\\N\in \mathrm{R}\text{, }&k=0\end{matrix}\right.
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-kN=-\frac{\mathrm{d}}{\mathrm{d}t}(N)
Subtract \frac{\mathrm{d}}{\mathrm{d}t}(N) from both sides. Anything subtracted from zero gives its negation.
kN=\frac{\mathrm{d}}{\mathrm{d}t}(N)
Cancel out -1 on both sides.
Nk=0
The equation is in standard form.
k=0
Divide 0 by N.
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