Suppose $x = c_{1}e^{-t}+c_{2}e^{2t}$.

1. Verify that $x = c_{1}e^{-t}+c_{2}e^{2t}$ is a solution to $x^{\,\prime\prime} - 1 x^{\,\prime} - 2 x = 0$ by substituting it into the differential equation. (Enter the terms in the order given. Enter $c_1$ as c1 and $c_2$ as c2.)
   + + $= 0$. help (formulas)
   
   
2. Find $x(t)$ if $x(0) = 4$ and $x^{\,\prime}(0) = 1$.
   $x(t) =$ help (formulas)