xdx=-d(cosx) eching

$$x d x = - d ( \cos x )$$

d uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

Ikkala tarafdan \left(-d\right)\cos(x) ni ayirish.

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

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

$$x^{2}d+d\cos(x)=0$$

d'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

0 ni x^{2}+\cos(x) ga bo'lish.

$$d=0$$

d uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

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

Ikkala tarafdan \left(-d\right)\cos(x) ni ayirish.

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

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

$$x^{2}d+d\cos(x)=0$$

d'ga ega bo'lgan barcha shartlarni birlashtirish.

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

Tenglama standart shaklda.

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

0 ni x^{2}+\cos(x) ga bo'lish.

$$d=0$$