Solve du=dx

$$d u = d x$$

Solve for d (complex solution)

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

Steps for Solving Linear Equation

Subtract dx from both sides.

$$du-dx=0$$

Combine all terms containing d.

$$\left(u-x\right)d=0$$

Divide 0 by u-x.

$$d=0$$

Solve for u (complex solution)

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

Steps for Solving Linear Equation

The equation is in standard form.

$$du=dx$$

Divide both sides by d.

$$\frac{du}{d}=\frac{dx}{d}$$

Dividing by d undoes the multiplication by d.

$$u=\frac{dx}{d}$$

Divide dx by d.

$$u=x$$

Solve for d

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

Steps for Solving Linear Equation

Subtract dx from both sides.

$$du-dx=0$$

Combine all terms containing d.

$$\left(u-x\right)d=0$$

Divide 0 by u-x.

$$d=0$$

Solve for u

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

Steps for Solving Linear Equation

The equation is in standard form.

$$du=dx$$

Divide both sides by d.

$$\frac{du}{d}=\frac{dx}{d}$$

Dividing by d undoes the multiplication by d.

$$u=\frac{dx}{d}$$

Divide dx by d.

$$u=x$$