Solve for F
\left\{\begin{matrix}F=-\frac{С}{x}\text{, }&x\neq 0\\F\in \mathrm{R}\text{, }&С=0\text{ and }x=0\end{matrix}\right.
Solve for f
f\in \mathrm{R}
С=-Fx
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Fx=\int \frac{\mathrm{d}}{\mathrm{d}x}(g)x^{2}\frac{\mathrm{d}}{\mathrm{d}x}(f)g\mathrm{d}x
Multiply x and x to get x^{2}.
xF=С
The equation is in standard form.
\frac{xF}{x}=\frac{С}{x}
Divide both sides by x.
F=\frac{С}{x}
Dividing by x undoes the multiplication by x.
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