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1. For y''-xy'-y=0 about x0=1 find the first four non-zero terms of two linearly independent solutions y1 (x) and y2 (x) .
2. For x2y" xy' +[x2-(1/9)]y=0
a. Show that x = 0 is a regular singular point.
b. Find two linearly independent solutions about this point using the Frobenius Method.
Evaluate an amount of gravel from the given ratio - How much gravel and sand should he add to make concrete?
The owner of the Rancho Grande has 2972 yd of fencing with which to enclose a rectangular piece of grazing land situated along the straight portion of a river. If fencing is not required along the river, what are the dimensions of the largest area..
What is the difference between the critical-value method and the p-value method of hypothesis testing?
let s be the solid obtained by intersecting two cylinders of radius r whose axes intersect at an angle theta. find the volume of S as a function of r and theta.
solving on numerical method - euler methodsapply eulers method to the following differential equation to estimate the
A study of the scores on an in plant course in management principles and the years of service of the employees enrolled in the course yielded the following statistics: Test Scores: mean=100 variance = 225 Years of Service: mean=5 variance = 81 Of ..
If x is the number of trees and y is the average yield per tree find a linear equation that gives the yield y in terms of the number of trees, x.
Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?
For someone who makes random guesses for all of the questions, find the probability of passing if the minimum passing grade is 80 %.
Suppose that 6 J of work is needed to stretch a spring from its natural length of 28 cm to a length of 35 cm.
A structure combining information from songs and plays can be defined using the following definition: (a) A valid element of SongsAndPlaysList will: ensure that there are no duplicate identifiers and ensure that any 'last played' time is later than
A sink can be filled by cold water faucet in 4 minutes. The drain can empty a full sink in 8 minutes. If the sink is empty and both the cold faucet and the drain are open, how long it take the sink to overflow?
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