Solve d^2y/dx+dy=1

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

Solve for d

$$d=\frac{1}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract \frac{\mathrm{d}(y)}{\mathrm{d}x} from both sides.

$$dy=1-\frac{\mathrm{d}(y)}{\mathrm{d}x}$$

The equation is in standard form.

$$yd=1$$

Divide both sides by y.

$$\frac{yd}{y}=\frac{1}{y}$$

Dividing by y undoes the multiplication by y.

$$d=\frac{1}{y}$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

$$d=\frac{1}{y}\text{ and }y\neq 0$$

Solve for x

$$x\in \mathrm{R}$$

$$d=\frac{1}{y}\text{ and }y\neq 0$$