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Suppose that the function \( y=e^{5 t}[-50 \cos (t)+45 \sin (t)] \) is a solution for the differen ...
Suppose that the function \( y=e^{5 t}[-50 \cos (t)+45 \sin (t)] \) is a solution for the differential equation \( y^{\prime \prime}+a_{1} y^{\prime}+a_{0} y=0\left(a_{0}, a_{1}\right. \) are constants \( ) \). What are the values of the coefficients \( a_{0} \) and \( a_{1} \) ? \[ a_{0}= \] \[ a_{1}= \]