Atrisiniet dx^2=ydy

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

Atrast d (complex solution)

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

Lineāra vienādojuma risināšanas darbības

Reiziniet y un y, lai iegūtu y^{2}.

$$dx^{2}=y^{2}d$$

Atņemiet y^{2}d no abām pusēm.

$$dx^{2}-y^{2}d=0$$

Pārkārtojiet locekļus.

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

Savelciet visus locekļus, kuros ir d.

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

Daliet 0 ar x^{2}-y^{2}.

$$d=0$$

Atrast d

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

Lineāra vienādojuma risināšanas darbības

Reiziniet y un y, lai iegūtu y^{2}.

$$dx^{2}=y^{2}d$$

Atņemiet y^{2}d no abām pusēm.

$$dx^{2}-y^{2}d=0$$

Pārkārtojiet locekļus.

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

Savelciet visus locekļus, kuros ir d.

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

Daliet 0 ar x^{2}-y^{2}.

$$d=0$$

Atrast x (complex solution)

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

Atrast x

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