y=4x^2y/dx eching

$$y = 4 x ^ { 2 } \frac { y } { d x }$$

d uchun yechish

$$\left\{\begin{matrix}d=4x\text{, }&x\neq 0\\d\neq 0\text{, }&y=0\text{ and }x\neq 0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

d qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini dx ga ko'paytirish.

$$ydx=4x^{2}y$$

Shartlarni qayta saralash.

$$dxy=4yx^{2}$$

Tenglama standart shaklda.

$$xyd=4yx^{2}$$

Ikki tarafini xy ga bo‘ling.

$$\frac{xyd}{xy}=\frac{4yx^{2}}{xy}$$

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

$$d=\frac{4yx^{2}}{xy}$$

4yx^{2} ni xy ga bo'lish.

$$d=4x$$

d qiymati 0 teng bo‘lmaydi.

$$d=4x\text{, }d\neq 0$$

x uchun yechish

$$\left\{\begin{matrix}x=\frac{d}{4}\text{, }&d\neq 0\\x\neq 0\text{, }&y=0\text{ and }d\neq 0\end{matrix}\right,$$