Answer:
So, solution of the differential equation is

Step-by-step explanation:
We have the given differential equation: y′′+4y=5xcos(2x)
We use the Method of Undetermined Coefficients.
We first solve the homogeneous differential equation y′′+4y=0.

It is a homogeneous solution:

Now, we finding a particular solution.

we get

So, solution of the differential equation is

Answer:
The workers will need 10 days to finish the job.
Step-by-step explanation:
To solve this question we can use a compound rule of three. We have:
10 road workers -> 5 days -> 2h/day
2 road workers -> x days -> 5h/days
The first thing we should do is analyze how the proportions between the variables work, if they're inversely or directly proportional. If we raise the number of workers we expect that the amount of days needed to finish the job lowers and if we raise the number of hours worked in a day we expect that the workers would need less days to finish the job. So we need to invert the fractions that are inversely proportional to the amount of days worked, then we have:
2 -> 5 -> 5
10-> x -> 2
x = (5*2*10)/(2*5) = 100/10 = 10 days
1000 divided by 100 is 10. 10 x 5 is 50. After the first year, Sue has 1050. But compound interest is interest on the amount AFTER the amount is added, so she will now earn interest on 1050. 1050 / 100 is 10.5. 10.5 x 52.50.
52.50 + 50 = 102.50. The answer is D. Hope this helps :)
Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.
I've added the image of the ticket as an attachment.
(a) The missing side length
From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.
So, we have:

This gives


Collect like terms


Divide both sides by 4

(b) The length of the gold lines
There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).
So, the length of the gold line is:



(c) The number of gold ink bottles.
--- number of tickets
The length of all gold line in the 200 tickets is:



---- convert to meters

Given that:
--- 1 bottle for 20 m
The number of bottles (n) is:



Hence, 2 bottles of gold ink are enough.
Read more about perimeters at:
brainly.com/question/6465134