I need help to solve two paired differential equations. After hours of unsuccessful attemps, I am asking for help from you. Any suggestion will be highly appriciated.
The equations are -
m*x''(t) + U*x(t) + γ*x'(t) + kv*V(t) - ζ = 0
V'(t) - kc*x'(t) + τ*V(t) = 0
initial conditions are x(0) = 1, X'(0) = 0, V(0) =0
x and V are the variables. All others are constant.
Thanks in advance.