Solve u^2=du

$$u ^ { 2 } = d u$$

Solve for d (complex solution)

$$\left\{\begin{matrix}\\d=u\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&u=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$du=u^{2}$$

The equation is in standard form.

$$ud=u^{2}$$

Divide both sides by u.

$$\frac{ud}{u}=\frac{u^{2}}{u}$$

Dividing by u undoes the multiplication by u.

$$d=\frac{u^{2}}{u}$$

Divide u^{2} by u.

$$d=u$$

Solve for d

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

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$du=u^{2}$$

The equation is in standard form.

$$ud=u^{2}$$

Divide both sides by u.

$$\frac{ud}{u}=\frac{u^{2}}{u}$$

Dividing by u undoes the multiplication by u.

$$d=\frac{u^{2}}{u}$$

Divide u^{2} by u.

$$d=u$$

Solve for u

$$u=d$$

$$u=0$$