Whakaoti i te (x+y^2)dx-2xydy=0

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

Whakaoti mō d (complex solution)

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te y ki te y, ka y^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te x+y^{2} ki te d.

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

Whakamahia te āhuatanga tohatoha hei whakarea te xd+y^{2}d ki te x.

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

Pahekotia te y^{2}dx me -2xy^{2}d, ka -y^{2}dx.

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

Pahekotia ngā kīanga tau katoa e whai ana i te d.

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

He hanga arowhānui tō te whārite.

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

Whakawehe 0 ki te x^{2}-y^{2}x.

$$d=0$$

Whakaoti mō d

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

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia te y ki te y, ka y^{2}.

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

Whakamahia te āhuatanga tohatoha hei whakarea te x+y^{2} ki te d.

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

Whakamahia te āhuatanga tohatoha hei whakarea te xd+y^{2}d ki te x.

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

Pahekotia te y^{2}dx me -2xy^{2}d, ka -y^{2}dx.

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

Pahekotia ngā kīanga tau katoa e whai ana i te d.

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

He hanga arowhānui tō te whārite.

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

Whakawehe 0 ki te x^{2}-y^{2}x.

$$d=0$$

Whakaoti mō x (complex solution)

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

Whakaoti mō x

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