Issolvi (x+y^2)dx-2xydy=0

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

Solvi għal d (complex solution)

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika y u y biex tikseb y^{2}.

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

Uża l-propjetà distributtiva biex timmultiplika x+y^{2} b'd.

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

Uża l-propjetà distributtiva biex timmultiplika xd+y^{2}d b'x.

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

Ikkombina y^{2}dx u -2xy^{2}d biex tikseb -y^{2}dx.

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

Ikkombina t-termini kollha li fihom d.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi 0 b'x^{2}-y^{2}x.

$$d=0$$

Solvi għal d

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika y u y biex tikseb y^{2}.

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

Uża l-propjetà distributtiva biex timmultiplika x+y^{2} b'd.

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

Uża l-propjetà distributtiva biex timmultiplika xd+y^{2}d b'x.

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

Ikkombina y^{2}dx u -2xy^{2}d biex tikseb -y^{2}dx.

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

Ikkombina t-termini kollha li fihom d.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi 0 b'x^{2}-y^{2}x.

$$d=0$$

Solvi għal x (complex solution)

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

Solvi għal x

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