Whakaoti i te 1GB=M^primeKB

$$1 G B = M ^ { \prime } K B$$

Whakaoti mō B (complex solution)

$$\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{C}\text{, }&G=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{\mathrm{d}}{\mathrm{d}x}(M)KB mai i ngā taha e rua.

$$1GB-\frac{\mathrm{d}}{\mathrm{d}x}(M)KB=0$$

Whakaraupapatia anō ngā kīanga tau.

$$BG-BK\frac{\mathrm{d}}{\mathrm{d}x}(M)=0$$

Whakaraupapatia anō ngā kīanga tau.

$$-BK\frac{\mathrm{d}}{\mathrm{d}x}(M)+BG=0$$

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

$$\left(-K\frac{\mathrm{d}}{\mathrm{d}x}(M)+G\right)B=0$$

He hanga arowhānui tō te whārite.

$$GB=0$$

Whakawehe 0 ki te G.

$$B=0$$

Whakaoti mō G (complex solution)

$$\left\{\begin{matrix}\\G=0\text{, }&\text{unconditionally}\\G\in \mathrm{C}\text{, }&B=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakaraupapatia anō ngā kīanga tau.

$$BG=BK\frac{\mathrm{d}}{\mathrm{d}x}(M)$$

He hanga arowhānui tō te whārite.

$$BG=0$$

Whakawehe 0 ki te B.

$$G=0$$

Whakaoti mō B

$$\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&G=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te \frac{\mathrm{d}}{\mathrm{d}x}(M)KB mai i ngā taha e rua.

$$1GB-\frac{\mathrm{d}}{\mathrm{d}x}(M)KB=0$$

Whakaraupapatia anō ngā kīanga tau.

$$BG-BK\frac{\mathrm{d}}{\mathrm{d}x}(M)=0$$

Whakaraupapatia anō ngā kīanga tau.

$$-BK\frac{\mathrm{d}}{\mathrm{d}x}(M)+BG=0$$

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

$$\left(-K\frac{\mathrm{d}}{\mathrm{d}x}(M)+G\right)B=0$$

He hanga arowhānui tō te whārite.

$$GB=0$$

Whakawehe 0 ki te G.

$$B=0$$

Whakaoti mō G

$$\left\{\begin{matrix}\\G=0\text{, }&\text{unconditionally}\\G\in \mathrm{R}\text{, }&B=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakaraupapatia anō ngā kīanga tau.

$$BG=BK\frac{\mathrm{d}}{\mathrm{d}x}(M)$$

He hanga arowhānui tō te whārite.

$$BG=0$$

Whakawehe 0 ki te B.

$$G=0$$