Solve partial^2y/partial^2x=1

$$\frac { \partial ^ { 2 } y } { \partial ^ { 2 } x } = 1$$

Solve for x

$$x=y$$

$$y\neq 0\text{ and }∂\neq 0$$

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 x∂^{2}.

$$∂^{2}y=x∂^{2}$$

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

$$x∂^{2}=∂^{2}y$$

The equation is in standard form.

$$∂^{2}x=y∂^{2}$$

Divide both sides by ∂^{2}.

$$\frac{∂^{2}x}{∂^{2}}=\frac{y∂^{2}}{∂^{2}}$$

Dividing by ∂^{2} undoes the multiplication by ∂^{2}.

$$x=\frac{y∂^{2}}{∂^{2}}$$

Divide ∂^{2}y by ∂^{2}.

$$x=y$$

Variable x cannot be equal to 0.

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

Solve for y

$$y=x$$

$$∂\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x∂^{2}.

$$∂^{2}y=x∂^{2}$$

Divide both sides by ∂^{2}.

$$\frac{∂^{2}y}{∂^{2}}=\frac{x∂^{2}}{∂^{2}}$$

Dividing by ∂^{2} undoes the multiplication by ∂^{2}.

$$y=\frac{x∂^{2}}{∂^{2}}$$

Divide x∂^{2} by ∂^{2}.

$$y=x$$