Differential equations problem

solve using integrating factors method

can you go into detail on how to find the general solution for this problem?
y' – 2y = t^2 e^2t

What expression is equivalent to 1/2(2+3x-6)

Ron has 8 caps and 4 of his caps are blue. thes rest of his cap are red. how many of ron's caps are red

Three students, javier, sam, and corrine, participated in a fundraiser where people donated a certain amount of money per lap that the student ran. each student also had some initial donations that were collected before the run. the equations that represent each student's total donation, y, based on the number of laps ran, x, is shown below. match each equation with the correct rate of change for that student.