Answer:
Step-by-step explanation:
A second order linear , homogeneous ordinary differential equation has form .
Given:
Let be it's solution.
We get,
Since ,
{ we know that for equation , roots are of form
}
We get,
For two complex roots , the general solution is of form
i.e
Applying conditions y(0)=1 on ,
So, equation becomes
On differentiating with respect to t, we get
Applying condition: y'(0)=0, we get
Therefore,
(a)The ratio of the number of machine to the number of crates packed is 1:4.5
(b) crates of oranges in 90 pack per day by machine is 405.
What is Ratio?
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
Given that;
40 identical machines in a factory pack 180 crates of oranges per day
So,
a) The ratio of the number of machines to the number of crates packed per day is:
40/180 = 1:4.5
b) crates of oranges would 90 of these machines pack per day is
40/180 = 90/x
x = 4.5 x 90
x = 405
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