Issolvi dh=(15t+6)dt

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

Solvi għal d

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 15t+6 b'd.

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

Uża l-propjetà distributtiva biex timmultiplika 15td+6d b't.

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

Naqqas 15dt^{2} miż-żewġ naħat.

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

Naqqas 6dt miż-żewġ naħat.

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

Ikkombina t-termini kollha li fihom d.

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

L-ekwazzjoni hija f'forma standard.

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

Iddividi 0 b'-15t^{2}-6t+h.

$$d=0$$

Solvi għal h

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

Passi biex Issolvi l-Ekwazzjoni Lineari

Uża l-propjetà distributtiva biex timmultiplika 15t+6 b'd.

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

Uża l-propjetà distributtiva biex timmultiplika 15td+6d b't.

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

Iddividi ż-żewġ naħat b'd.

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

Meta tiddividi b'd titneħħa l-multiplikazzjoni b'd.

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

Iddividi 3dt\left(2+5t\right) b'd.

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