8.2.1.13 Differential Equations

Condition: to intervene a linear differential equation under given initial conditions. \ [x^{\ prime \ prime} +4 x^{\ prime} +4 x = e^{-2 t} \] with \ (t = 0, \ quad x = x_ {0}, \ quad x^{\ prime} = x_ {0}^{\ prime} \).