Whakaoti i te 6u=3x^2dx

$$6 u = 3 x ^ { 2 } d x$$

Whakaoti mō d (complex solution)

$$\left\{\begin{matrix}d=\frac{2u}{x^{3}}\text{, }&x\neq 0\\d\in \mathrm{C}\text{, }&u=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$6u=3x^{3}d$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$3x^{3}d=6u$$

Whakawehea ngā taha e rua ki te 3x^{3}.

$$\frac{3x^{3}d}{3x^{3}}=\frac{6u}{3x^{3}}$$

Mā te whakawehe ki te 3x^{3} ka wetekia te whakareanga ki te 3x^{3}.

$$d=\frac{6u}{3x^{3}}$$

Whakawehe 6u ki te 3x^{3}.

$$d=\frac{2u}{x^{3}}$$

Whakaoti mō d

$$\left\{\begin{matrix}d=\frac{2u}{x^{3}}\text{, }&x\neq 0\\d\in \mathrm{R}\text{, }&u=0\text{ and }x=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$6u=3x^{3}d$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$3x^{3}d=6u$$

Whakawehea ngā taha e rua ki te 3x^{3}.

$$\frac{3x^{3}d}{3x^{3}}=\frac{6u}{3x^{3}}$$

Mā te whakawehe ki te 3x^{3} ka wetekia te whakareanga ki te 3x^{3}.

$$d=\frac{6u}{3x^{3}}$$

Whakawehe 6u ki te 3x^{3}.

$$d=\frac{2u}{x^{3}}$$

Whakaoti mō u

$$u=\frac{dx^{3}}{2}$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te 1 kia riro ai te 3.

$$6u=3x^{3}d$$

He hanga arowhānui tō te whārite.

$$6u=3dx^{3}$$

Whakawehea ngā taha e rua ki te 6.

$$\frac{6u}{6}=\frac{3dx^{3}}{6}$$

Mā te whakawehe ki te 6 ka wetekia te whakareanga ki te 6.

$$u=\frac{3dx^{3}}{6}$$

Whakawehe 3x^{3}d ki te 6.

$$u=\frac{dx^{3}}{2}$$