2y=e^-x eching

$$2 y = e ^ { - x }$$

y uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

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

Ikki tarafini 2 ga bo‘ling.

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

2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.

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

x uchun yechish (complex solution)

$$x=-\ln(y)-2\pi n_{1}i-\ln(2)$$

$$n_{1}\in \mathrm{Z}$$

$$y\neq 0$$

x uchun yechish

$$x=-\left(\ln(y)+\ln(2)\right)$$

$$y>0$$