Whakaoti i te d^2X+bX=0

$$d ^ { 2 } X + b X = 0$$

Whakaoti mō X

$$\left\{\begin{matrix}\\X=0\text{, }&\text{unconditionally}\\X\in \mathrm{R}\text{, }&b=-d^{2}\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

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

$$\left(d^{2}+b\right)X=0$$

He hanga arowhānui tō te whārite.

$$\left(b+d^{2}\right)X=0$$

Whakawehe 0 ki te d^{2}+b.

$$X=0$$

Whakaoti mō b

$$\left\{\begin{matrix}\\b=-d^{2}\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&X=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te d^{2}X mai i ngā taha e rua. Ko te tau i tango i te kore ka hua ko tōna korenga.

$$bX=-d^{2}X$$

Whakaraupapatia anō ngā kīanga tau.

$$Xb=-Xd^{2}$$

Whakawehea ngā taha e rua ki te X.

$$\frac{Xb}{X}=-\frac{Xd^{2}}{X}$$

Mā te whakawehe ki te X ka wetekia te whakareanga ki te X.

$$b=-\frac{Xd^{2}}{X}$$

Whakawehe -Xd^{2} ki te X.

$$b=-d^{2}$$