Find a particular solution to the nonhomogeneous differential equation y? ? +4y? +5y=? 10x+e^(? x).

yp=
find the most general solution to the associated homogeneous differential equation. use c1 and c2 in your answer to denote arbitrary constants, and enter them as c1 and c2.

yh=
find the most general solution to the original nonhomogeneous differential equation. use c1 and c2 in your answer to denote arbitrary constants.

y=

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.