ma=mg-bv eching

$$m a = m g - b v$$

a uchun yechish

$$\left\{\begin{matrix}a=-\frac{bv}{m}+g\text{, }&m\neq 0\\a\in \mathrm{R}\text{, }&\left(b=0\text{ or }v=0\right)\text{ and }m=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$ma=gm-bv$$

Ikki tarafini m ga bo‘ling.

$$\frac{ma}{m}=\frac{gm-bv}{m}$$

m ga bo'lish m ga ko'paytirishni bekor qiladi.

$$a=\frac{gm-bv}{m}$$

mg-bv ni m ga bo'lish.

$$a=-\frac{bv}{m}+g$$

b uchun yechish

$$\left\{\begin{matrix}b=\frac{m\left(g-a\right)}{v}\text{, }&v\neq 0\\b\in \mathrm{R}\text{, }&\left(m=0\text{ or }a=g\right)\text{ and }v=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$mg-bv=ma$$

Ikkala tarafdan mg ni ayirish.

$$-bv=ma-mg$$

Tenglama standart shaklda.

$$\left(-v\right)b=am-gm$$

Ikki tarafini -v ga bo‘ling.

$$\frac{\left(-v\right)b}{-v}=\frac{m\left(a-g\right)}{-v}$$

-v ga bo'lish -v ga ko'paytirishni bekor qiladi.

$$b=\frac{m\left(a-g\right)}{-v}$$

m\left(a-g\right) ni -v ga bo'lish.

$$b=-\frac{m\left(a-g\right)}{v}$$