Whakaoti i te dh=(15t+6)dt

$$d h = ( 15 t + 6 ) d t$$

Whakaoti mō d

$$\left\{\begin{matrix}\\d=0\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&h=3t\left(5t+2\right)\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 15t+6 ki te d.

$$dh=\left(15td+6d\right)t$$

Whakamahia te āhuatanga tohatoha hei whakarea te 15td+6d ki te t.

$$dh=15dt^{2}+6dt$$

Tangohia te 15dt^{2} mai i ngā taha e rua.

$$dh-15dt^{2}=6dt$$

Tangohia te 6dt mai i ngā taha e rua.

$$dh-15dt^{2}-6dt=0$$

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

$$\left(h-15t^{2}-6t\right)d=0$$

He hanga arowhānui tō te whārite.

$$\left(h-6t-15t^{2}\right)d=0$$

Whakawehe 0 ki te -15t^{2}-6t+h.

$$d=0$$

Whakaoti mō h

$$\left\{\begin{matrix}\\h=3t\left(5t+2\right)\text{, }&\text{unconditionally}\\h\in \mathrm{R}\text{, }&d=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 15t+6 ki te d.

$$dh=\left(15td+6d\right)t$$

Whakamahia te āhuatanga tohatoha hei whakarea te 15td+6d ki te t.

$$dh=15dt^{2}+6dt$$

Whakawehea ngā taha e rua ki te d.

$$\frac{dh}{d}=\frac{3dt\left(5t+2\right)}{d}$$

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

$$h=\frac{3dt\left(5t+2\right)}{d}$$

Whakawehe 3dt\left(2+5t\right) ki te d.

$$h=3t\left(5t+2\right)$$