Problem $1.$ Motor Transfer Function

Usually, in the analysis of DC motor performance, we are interested in both the motor speed $$ and armature current $i_a.$ These are the two outputs of the system. On the other hand, the applied voltage $v_{in}$ and the load torque $T_L$ can be considered as two inputs. Thus there are four transfer functions for the motor: one transfer function for each input$-$output pair. Find these transfer functions $($i$.$e$.$ tilde$(I{)}_a\frac{s}{t}$ilde$(V{)}_{in}(s),$tilde$(I{)}_a\frac{s}{t}$ilde$(T{)}_L(s),$tilde$()\frac{s}{t}$ilde$(V{)}_{in}(s),$ and $($:$(tilde())\frac{s}{t}$ilde$(T{)}_L(s).$ PLEASE DO IN MATLAB CODE