In each of the problems
(a) draw a direction field for the given differential equation
(b) based on an inspection of the direction field, describe howsolutions behave for large t.
(c) find the general solution of the given differential equation, and use it to determine how solutions behave as t throughinfinity.
2. y'-2y=t2 e2t
3. y'+y=te to the -t+1
4. y'+(1/t)/y=3cos2t, t> 0
5. y'-2y=3e to the t
9. 2y'+y=3t
10. ty'-y=t squared to the -t, t> 0
12. 2y'+y=3t squared

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.