Solve dy=1/x^2

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

Solve for d

$$d=\frac{1}{yx^{2}}$$

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

Steps for Solving Linear Equation

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

$$dyx^{2}=1$$

The equation is in standard form.

$$yx^{2}d=1$$

Divide both sides by yx^{2}.

$$\frac{yx^{2}d}{yx^{2}}=\frac{1}{yx^{2}}$$

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

$$d=\frac{1}{yx^{2}}$$

Solve for x (complex solution)

$$x=-d^{-\frac{1}{2}}y^{-\frac{1}{2}}$$

$$x=d^{-\frac{1}{2}}y^{-\frac{1}{2}}\text{, }y\neq 0\text{ and }d\neq 0$$

Solve for x

$$x=\frac{1}{\sqrt{dy}}$$

$$x=-\frac{1}{\sqrt{dy}}\text{, }\left(y>0\text{ and }d>0\right)\text{ or }\left(d<0\text{ and }y<0\right)$$