Solve y=f(x)e

$$y = f ( x ) e$$

Solve for f (complex solution)

$$\left\{\begin{matrix}f=\frac{y}{ex}\text{, }&x\neq 0\\f\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fxe=y$$

The equation is in standard form.

$$exf=y$$

Divide both sides by xe.

$$\frac{exf}{ex}=\frac{y}{ex}$$

Dividing by xe undoes the multiplication by xe.

$$f=\frac{y}{ex}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y}{ef}\text{, }&f\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fxe=y$$

The equation is in standard form.

$$efx=y$$

Divide both sides by fe.

$$\frac{efx}{ef}=\frac{y}{ef}$$

Dividing by fe undoes the multiplication by fe.

$$x=\frac{y}{ef}$$

Solve for f

$$\left\{\begin{matrix}f=\frac{y}{ex}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fxe=y$$

The equation is in standard form.

$$exf=y$$

Divide both sides by xe.

$$\frac{exf}{ex}=\frac{y}{ex}$$

Dividing by xe undoes the multiplication by xe.

$$f=\frac{y}{ex}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y}{ef}\text{, }&f\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }f=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$fxe=y$$

The equation is in standard form.

$$efx=y$$

Divide both sides by fe.

$$\frac{efx}{ef}=\frac{y}{ef}$$

Dividing by fe undoes the multiplication by fe.

$$x=\frac{y}{ef}$$