Make two simulations of this system of equations using Euler and 4th Order Runge-Kutta method (question attached)

$2\frac{d^2x_1(t)}{dt^2}+2\frac{dx_1(t)}{dt}+(1+2x_1(t))-2\frac{dx_2(t)}{dt}=0 $         Eq.(6)

$2\frac{d^2x_2(t)}{dt^2}+2\frac{dx_2(t)}{dt}-2\frac{dx_1(t)}{dt} = f(t)$                                         Eq.(7)
  • If you also want the Python codes, this would take about 2 hours to be answered. Very low bounty.