In the case where the order of reaction is $($n$=0,$n$=1,$n$=2),$ develop an expression for the effectiveness factor $($n$)$ using the "Single$-$pore Thiele Model". Also, make the necessary limitations and discuss. using differential equations please and step by step

note: use this equations ; $\frac{d^2}{d{}^2}-{}_n^2{}^n=0$

$=\frac{1}{{}_n^2}*\frac{d}{d}$