Solve the initial value problem below using the method of Laplace transforms.\
w'' - 10w' + 25w = 75t + 245, w(-2) = 2, w'(-2) = -10\
Click here to view the table of Laplace transforms.\
Click here to view the table of properties of Laplace transforms.\
w(t) = \
(Type an exact answer in terms of $e$.)