Suppose that the characteristic equation for a differential equation is (r−4)^2 (r−5)^2=0

(a) Find such a differential equation, assuming it is homogeneous and has constant coefficients.

(b) Find the general solution to this differential equation. In your answer, use c1,c2,c3 and c4 to denote arbitrary constants, use y for the dependent variable, and use x for the independent variable.

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

Jeremy wants to determine the number of solutions for the equation below without actually solving the equation.