Solve Dy/Dx=1

$$\frac { D y } { D x } = 1$$

Solve for D

$$D\neq 0$$

$$x=y\text{ and }y\neq 0$$

Steps for Solving Linear Equation

Variable D cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by Dx.

$$Dy=Dx$$

Subtract Dx from both sides.

$$Dy-Dx=0$$

Combine all terms containing D.

$$\left(y-x\right)D=0$$

Divide 0 by y-x.

$$D=0$$

Variable D cannot be equal to 0.

$$D\in \emptyset$$

Solve for x

$$x=y$$

$$y\neq 0\text{ and }D\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by Dx.

$$Dy=Dx$$

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

$$Dx=Dy$$

Divide both sides by D.

$$\frac{Dx}{D}=\frac{Dy}{D}$$

Dividing by D undoes the multiplication by D.

$$x=\frac{Dy}{D}$$

Divide Dy by D.

$$x=y$$

Variable x cannot be equal to 0.

$$x=y\text{, }x\neq 0$$