Linearize the system of nonlinear differential equations referred to as the Hodgkin-Huxley equations, which are as follows:

where

C_m = 1 mF/cm², G_Na = 120 mS/cm², G_K = 36 mS/cm², G_m = 0.3 mS/cm², E_Na = -115 mV, E_K = 12 mV, V_leak = -10.613 mV

Cat a doma m = Gn"(EK Vm) + GNqm'h(Ena - Vm) +Gm (Vieak - Vm) +I =an (Vm)(1 - n) - Bn (Vm)n dm = am (Vm) (1 - m) - Bm (Vm)m =an(Vm)(1 - h) - Bn (Vm) 0.01Vm +10) an (Vm) = (Vm +10)/101 (Vm+10)/10 - 19 Bn(Vm) = 0.125eVm/80 0.1(Vm + 25) Om (Vm) = el Vm +25)/10_Bn (Vm) = 4eVm/18 (Vm +25)/10 1'' (V)= 0.07 m2, Prim) = (Vm+30)/10 + 1 Cat a doma m = Gn"(EK Vm) + GNqm'h(Ena - Vm) +Gm (Vieak - Vm) +I =an (Vm)(1 - n) - Bn (Vm)n dm = am (Vm) (1 - m) - Bm (Vm)m =an(Vm)(1 - h) - Bn (Vm) 0.01Vm +10) an (Vm) = (Vm +10)/101 (Vm+10)/10 - 19 Bn(Vm) = 0.125eVm/80 0.1(Vm + 25) Om (Vm) = el Vm +25)/10_Bn (Vm) = 4eVm/18 (Vm +25)/10 1'' (V)= 0.07 m2, Prim) = (Vm+30)/10 + 1