Write the differential equation corresponding to this transfer function (assume all initialconditions are zero): \frac{X(s)}{F(s)}=\frac{2 s^{4}-6 s^{3}-7}{-4 s^{4}+3 s^{2}+9 s+1} Find the Inverse Laplace Transform of: F(s)=\frac{2 s+1}{s^{2}+9} ) Find the Inverse Laplace Transform of: \frac{C(s)}{R(s)}=\frac{s+5}{\left(s^{3}+3 s^{2}+2 s\right)}