Solve for k (complex solution)
\left\{\begin{matrix}k=\frac{7y}{2xe^{3x}}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}k=\frac{7y}{2xe^{3x}}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
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e^{3x}k\times \frac{2}{7}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{2xe^{3x}}{7}k=y
The equation is in standard form.
\frac{7\times \frac{2xe^{3x}}{7}k}{2xe^{3x}}=\frac{7y}{2xe^{3x}}
Divide both sides by \frac{2}{7}e^{3x}x.
k=\frac{7y}{2xe^{3x}}
Dividing by \frac{2}{7}e^{3x}x undoes the multiplication by \frac{2}{7}e^{3x}x.
e^{3x}k\times \frac{2}{7}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{2xe^{3x}}{7}k=y
The equation is in standard form.
\frac{7\times \frac{2xe^{3x}}{7}k}{2xe^{3x}}=\frac{7y}{2xe^{3x}}
Divide both sides by \frac{2}{7}e^{3x}x.
k=\frac{7y}{2xe^{3x}}
Dividing by \frac{2}{7}e^{3x}x undoes the multiplication by \frac{2}{7}e^{3x}x.
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