Issolvi Y(s)/U(s)=1/s(s+1)(s+2)

$$\frac { Y ( s ) } { U ( s ) } = \frac { 1 } { s ( s + 1 ) ( s + 2 ) }$$

Solvi għal Y

$$Y=\frac{U}{s\left(s+1\right)\left(s+2\right)}$$

$$U\neq 0\text{ and }s\neq 0\text{ and }s\neq -1\text{ and }s\neq -2$$

Passi biex Issolvi l-Ekwazzjoni Lineari

Immultiplika ż-żewġ naħat tal-ekwazzjoni b'Us\left(s+1\right)\left(s+2\right), l-inqas denominatur komuni ta' Us,s\left(s+1\right)\left(s+2\right).

$$\left(s+1\right)\left(s+2\right)Ys=U$$

Uża l-propjetà distributtiva biex timmultiplika s+1 b's+2 u kkombina termini simili.

$$\left(s^{2}+3s+2\right)Ys=U$$

Uża l-propjetà distributtiva biex timmultiplika s^{2}+3s+2 b'Y.

$$\left(s^{2}Y+3sY+2Y\right)s=U$$

Uża l-propjetà distributtiva biex timmultiplika s^{2}Y+3sY+2Y b's.

$$Ys^{3}+3Ys^{2}+2Ys=U$$

Ikkombina t-termini kollha li fihom Y.

$$\left(s^{3}+3s^{2}+2s\right)Y=U$$

Iddividi ż-żewġ naħat b'3s^{2}+s^{3}+2s.

$$\frac{\left(s^{3}+3s^{2}+2s\right)Y}{s^{3}+3s^{2}+2s}=\frac{U}{s^{3}+3s^{2}+2s}$$

Meta tiddividi b'3s^{2}+s^{3}+2s titneħħa l-multiplikazzjoni b'3s^{2}+s^{3}+2s.

$$Y=\frac{U}{s^{3}+3s^{2}+2s}$$

Iddividi U b'3s^{2}+s^{3}+2s.

$$Y=\frac{U}{s\left(s+1\right)\left(s+2\right)}$$

Solvi għal U

$$U=Ys\left(s+1\right)\left(s+2\right)$$

$$s\neq 0\text{ and }s\neq -2\text{ and }s\neq -1\text{ and }Y\neq 0$$