Solve partialy/dx=y

$$\frac { \partial y } { d x } = y$$

Solve for d

$$\left\{\begin{matrix}d=\frac{∂}{x}\text{, }&x\neq 0\text{ and }∂\neq 0\\d\neq 0\text{, }&y=0\text{ and }x\neq 0\end{matrix}\right.$$

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.

$$∂y=ydx$$

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

$$ydx=∂y$$

The equation is in standard form.

$$xyd=y∂$$

Divide both sides by yx.

$$\frac{xyd}{xy}=\frac{y∂}{xy}$$

Dividing by yx undoes the multiplication by yx.

$$d=\frac{y∂}{xy}$$

Divide ∂y by yx.

$$d=\frac{∂}{x}$$

Variable d cannot be equal to 0.

$$d=\frac{∂}{x}\text{, }d\neq 0$$

Solve for x

$$\left\{\begin{matrix}x=\frac{∂}{d}\text{, }&d\neq 0\text{ and }∂\neq 0\\x\neq 0\text{, }&y=0\text{ and }d\neq 0\end{matrix}\right.$$

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.

$$∂y=ydx$$

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

$$ydx=∂y$$

The equation is in standard form.

$$dyx=y∂$$

Divide both sides by yd.

$$\frac{dyx}{dy}=\frac{y∂}{dy}$$

Dividing by yd undoes the multiplication by yd.

$$x=\frac{y∂}{dy}$$

Divide ∂y by yd.

$$x=\frac{∂}{d}$$

Variable x cannot be equal to 0.

$$x=\frac{∂}{d}\text{, }x\neq 0$$