dy=xdx eching

$$d y = x d x$$

d uchun yechish (complex solution)

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{C}\text{, }&y=x^{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$dy=x^{2}d$$

Ikkala tarafdan x^{2}d ni ayirish.

$$dy-x^{2}d=0$$

Shartlarni qayta saralash.

$$-dx^{2}+dy=0$$

d'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-x^{2}+y\right)d=0$$

Tenglama standart shaklda.

$$\left(y-x^{2}\right)d=0$$

0 ni y-x^{2} ga bo'lish.

$$d=0$$

d uchun yechish

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&y=x^{2}\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$dy=x^{2}d$$

Ikkala tarafdan x^{2}d ni ayirish.

$$dy-x^{2}d=0$$

Shartlarni qayta saralash.

$$-dx^{2}+dy=0$$

d'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(-x^{2}+y\right)d=0$$

Tenglama standart shaklda.

$$\left(y-x^{2}\right)d=0$$

0 ni y-x^{2} ga bo'lish.

$$d=0$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}\\x=-\sqrt{y}\text{; }x=\sqrt{y}\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&d=0\end{matrix}\right,$$

x uchun yechish

$$\left\{\begin{matrix}x=\sqrt{y}\text{; }x=-\sqrt{y}\text{, }&y\geq 0\\x\in \mathrm{R}\text{, }&d=0\end{matrix}\right,$$