(partial+m)psi=0 eching

$$( \partial + m ) \psi = 0$$

m uchun yechish (complex solution)

$$\left\{\begin{matrix}\\m=-∂\text{, }&\text{unconditionally}\\m\in \mathrm{C}\text{, }&\psi =0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

∂+m ga \psi ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$∂\psi +m\psi =0$$

Ikkala tarafdan ∂\psi ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$m\psi =-∂\psi$$

Shartlarni qayta saralash.

$$m\psi =-\psi ∂$$

Tenglama standart shaklda.

$$\psi m=-\psi ∂$$

Ikki tarafini \psi ga bo‘ling.

$$\frac{\psi m}{\psi }=-\frac{\psi ∂}{\psi }$$

\psi ga bo'lish \psi ga ko'paytirishni bekor qiladi.

$$m=-\frac{\psi ∂}{\psi }$$

-\psi ∂ ni \psi ga bo'lish.

$$m=-∂$$

ψ uchun yechish (complex solution)

$$\left\{\begin{matrix}\\\psi =0\text{, }&\text{unconditionally}\\\psi \in \mathrm{C}\text{, }&∂=-m\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$\left(m+∂\right)\psi =0$$

0 ni ∂+m ga bo'lish.

$$\psi =0$$

m uchun yechish

$$\left\{\begin{matrix}\\m=-∂\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&\psi =0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

∂+m ga \psi ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$∂\psi +m\psi =0$$

Ikkala tarafdan ∂\psi ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$m\psi =-∂\psi$$

Shartlarni qayta saralash.

$$m\psi =-\psi ∂$$

Tenglama standart shaklda.

$$\psi m=-\psi ∂$$

Ikki tarafini \psi ga bo‘ling.

$$\frac{\psi m}{\psi }=-\frac{\psi ∂}{\psi }$$

\psi ga bo'lish \psi ga ko'paytirishni bekor qiladi.

$$m=-\frac{\psi ∂}{\psi }$$

-\psi ∂ ni \psi ga bo'lish.

$$m=-∂$$

ψ uchun yechish

$$\left\{\begin{matrix}\\\psi =0\text{, }&\text{unconditionally}\\\psi \in \mathrm{R}\text{, }&∂=-m\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$\left(m+∂\right)\psi =0$$

0 ni ∂+m ga bo'lish.

$$\psi =0$$