Find the solution of the given initial value problem. y(4) + 2y''' + y'' + 8y' − 12y = 12 sin t − e−t; y(0) = 7, y'(0) = 0, y''(0) = −1, y'''(0) = 4 y(t) =

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?