A system is described by the following transfer function:

$F(s)=\frac{3s^3+s+2}{4s^3+6s^2-s+1}$

Determine the differential equation that governs the system.

Select one:

a$.4y^{}+6y^{}-y^{}+y=2u+u^{}+3u^{}$

b$.4y^{}-y^{}-6y^{}+y=2u+u^{}+3u^{}$

c$.y^{}+6y^{}-y^{}+y=2u+u^{}+3u^{}$

d$.4y^{}+6y^{}-y^{}+y=2u-u^{}+3u^{}$

e$.$ None of these