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Q. Show that similar matrices have same eigen values.
Q. Find the ordinary point and the singular point of the differential equation
(1+x2)y’’+xy’-xy=0
Q. Find the ordinary point and the singular point of the differential equation
Y’’-xy’+2y=0
Q. Find the power series solution of the differential equation about an ordinary point x=2.
y’’+(x-3)y’+y=0
Q. Find the power series solution of the differential equation about an ordinary point x=1.
xy’-y=0 and y’’-xy’+2y=0
Q. Find the power series solution of the differential equation.
y’’+y=0 about an ordinary point x=0
Q. Solve
dy/dx+3y/x-y^2=1/x^2 , y1=1/x is a particular solution.
Q. solve
dy/dx-y/x-x^3 y^2=-x^5, y1=x is a particular solution.
I want to study chi square test of homogeneity from any authentic source- book / website especially problems where samples are compared for more than one attribute.

'Chi square test of homogeneity is a Chi square test that determines whether two or more independent random samples are from the same or different population.'

What are some relevant sources?

Relevant background:

I was studying examples from random online sources before I saw this book in which a second X2 has been calculated and is substracted from the principle X2 (the one we usually find). This is inconsistent to the examples I saw online.
Here are two links to the process from the book I'm talking about:
1.https://i.stack.imgur.com/6KZQc.png
2.https://i.stack.imgur.com/rjFvk.png

In fact we are being taught the latter process. I'm not sure which one is correct to find the chi square of homogeneity.
I have a question regarding Yates' correction and I can't accommodate the text due to character limits here so here's a link to the question: https://i.stack.imgur.com/suGfa.png
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