tT^prime/T+3=-lambda eching

$$\frac { t T ^ { \prime } } { T } + 3 = - \lambda$$

t uchun yechish

$$t\in \mathrm{R}$$

$$\lambda =-3\text{ and }T\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini T ga ko'paytirish.

$$t\frac{\mathrm{d}}{\mathrm{d}x}(T)+T\times 3=-T\lambda$$

Ikkala tarafdan T\times 3 ni ayirish.

$$t\frac{\mathrm{d}}{\mathrm{d}x}(T)=-T\lambda -T\times 3$$

-3 hosil qilish uchun -1 va 3 ni ko'paytirish.

$$t\frac{\mathrm{d}}{\mathrm{d}x}(T)=-T\lambda -3T$$

Tenglama standart shaklda.

$$0=-T\lambda -3T$$

Bu har qanday t uchun xato.

$$t\in$$

T uchun yechish

$$T\neq 0$$

$$\lambda =-3\text{ and }T\neq 0$$