Solve n^prime-F_{n}+Delta=0(nu

$$n ^ { \prime } - F _ { n } + \Delta = 0 ( \nu$$

Solve for F_n

$$F_{n}=\Delta$$

Steps for Solving Linear Equation

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(n)-F_{n}+\Delta =0$$

Subtract \frac{\mathrm{d}}{\mathrm{d}x}(n) from both sides. Anything subtracted from zero gives its negation.

$$-F_{n}+\Delta =-\frac{\mathrm{d}}{\mathrm{d}x}(n)$$

Subtract \Delta from both sides.

$$-F_{n}=-\frac{\mathrm{d}}{\mathrm{d}x}(n)-\Delta$$

The equation is in standard form.

$$-F_{n}=-\Delta$$

Divide both sides by -1.

$$\frac{-F_{n}}{-1}=-\frac{\Delta }{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$F_{n}=-\frac{\Delta }{-1}$$

Divide -\Delta by -1.

$$F_{n}=\Delta$$

Solve for n

$$n\in \mathrm{R}$$

$$F_{n}=\Delta$$