Find out the singular points of the equation
Find out the singular points of the equation (x^2 + 2x)^2 Y" - 4xY' +5Y = 0 and classify them as regular or irregular.
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Producers will make 2000 refrigerators available when unit price is $330. At the unit price of 390, 6000 refrigerator will be marketed. Compute the equation relating the unit prive of refrigator to the quantatity supplied if the equation is known
The coordinates of the max for the solution curve. The value of t there the solution crosses the t-axis.
Compute the probability that if 3 alphabetic letters are selected (no ordering), no letters are repeated? The probability that no letters are repeated is
You bring a bag of 12 snacks to animal shelter and discover that there're 18 animals there. To be fair, you don't want to provide more than one snack to any individual animal. How many manners are there of distributing snacks?
There're 20 people sitting in waiting room. The usher in charge should select 5 of these people to go to the green sanctuary and 3 of these people to go to the red sanctuary. In how many different manners can the usher do this? The standard answer
It is well known that infants born to mothers who smoke tend to be small and prone to the range of ailments. It is conjectured that also they look abnormal.
In a ballroom dance class, participants are divided in couples for each drill session. One partner leads and other follows for three minutes, and then the couple switches roles for next three minutes.
Determine the exponential generating function of the partitions of the set [n], all of whose classes have a prime number of elements.
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