Solve dU=dqdw

$$d U = d q d w$$

Solve for U

$$\left\{\begin{matrix}\\U=dqw\text{, }&\text{unconditionally}\\U\in \mathrm{R}\text{, }&d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply d and d to get d^{2}.

$$dU=d^{2}qw$$

The equation is in standard form.

$$dU=qwd^{2}$$

Divide both sides by d.

$$\frac{dU}{d}=\frac{qwd^{2}}{d}$$

Dividing by d undoes the multiplication by d.

$$U=\frac{qwd^{2}}{d}$$

Divide d^{2}qw by d.

$$U=dqw$$

Solve for d

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d=\frac{U}{qw}\text{, }&w\neq 0\text{ and }q\neq 0\\d\in \mathrm{R}\text{, }&\left(q=0\text{ or }w=0\right)\text{ and }U=0\end{matrix}\right.$$