$*$provide a expert answer$*$

Q$1.$ Considering a thermal water heating system with heat flow at rate of q $($joule$/$sec$),$ thermal capacity C$($joule$/$C$^0)$ and thermal resistance of insulation is R$($C$^0/$joule$/$sec$).$ Obtain a mathematical model with transfer function for the thermal system using laplace transform if the inlet water temprature is $\backslash$theta i and outlet water temprature is $\backslash$theta o$.$