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