Suppose that the function $y=-49e^{-2\mathrm{.}5t}(sin(48t)cos(48t))$ is a solution for the differential equation $y^{\text{'}\text{'}}{a}_1{y}^{\text{'}}{a}_{0}y=0$ with $y(0)=x_0$ and are constants$).$

What are the values of the coefficients $a_0,a_1,x_0$ and $v_0?$

$a_0=$

$$

$a_1=$

$$

$x_0=$

$$

$v_0=$

$$