In Plessy v. Ferguson, the court ruled that seperate but equal is legal.
In Brown v. The Board of Education, the court ruled that there would be no segregation within schools.
Therefore, one difference between the two was that in Brown v. The Board of Education, Linda Brown got something out of the trial, Plessy did not get anything out of Plessy v. Ferguson.
Another difference could be that they were both in different decades. Plessy took place in 1892, and Brown took place in 1954.
Some similarities include:
Both took their cases to the U.S. Supreme Court, & both were fighting for rights listed under the 14th amendment.