Find the particular solution of the differential equation dydx=(x−5)e−2y dydx=(x−5)e−2y satisfying the initial condition y(5)=ln(5)y(5)=ln⁡(5).

The requires solution to the given differential equation is

y = (1/2)ln(x² - 10x + 50)

Step-by-step explanation:

The workings are shown in the attachment.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: