xy'ln(y/x)=x+yln(y/x) find general solution of the homogenous equation  

Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B.
a) the set of sophomores taking discrete mathematics in your school
b) the set of sophomores at your school who are not taking discrete mathematics
c) the set of students at your school who either are sophomores or are taking discrete mathematics
Use these symbols: ${\displaystyle \cap \cup }$

Discrete Mathematics Basics
1) Determine whether the relation R on the set of all Web pages is reflexive, symmetric, antisymmetric, and/or transitive, where ${\displaystyle (a,b)\in R}$ if and only if
I) everyone who has visited Web page a has also visited Web page b.
II) there are no common links found on both Web page a and Web page b.
III) there is at least one common link on Web page a and Web page b.

Let A, B, and C be sets. Show that ${\displaystyle (A-B)-C=(A-C)-(B-C)}$

How many elements are in the set { 0, { { 0 } }?

Suppose n is an integer. Using the definitions of even and odd, prove that n is odd if and only if $3n+1$ is even.

A shape has ________ if it can be folded about a line so that its two parts match exactly.

A 5-card hand is dealt from a perfectly shuffled deck of playing cards. What is the probability that the hand is a full house? A full house has three cards of the same rank and another pair of the same rank. For example, $\{4\mathrm{♠},4\mathrm{♡},4\mathrm{♢},J\mathrm{♠},J\mathrm{♣}\}$