Consider the differential equation

$y^{\text{'}\text{'}}-y^{\text{'}}-30y=0$

Verify that the functions $e^{-5x}$ and $e^{6x}$ form a fundamental set $of$ solutions $of$ the differential equation $on$ the interval $(-,).$

The functions satisfy the differential equation and are linearly independent since the Wronskian $W(e^{-5x},e^{6x})=,0$ for $y=-.$

Form the general solution.

$y=$