Solve the initial value problem below using the method of Laplace transforms.

$y^{\text{'}\text{'}}-10y^{\text{'}}+50y=104e^{6t},y(0)=4,y^{\text{'}}(0)=29$

Click here to view the table of Laplace transforms.

Click here to view the table of properties of Laplace transforms.

$y(t)=$

$($Type an exact answer in terms of $e.)$