Problem 5. a) Find the general solution to the second order homogeneous linear ODE y" (t) + 4y(t) + 5y(t) = 65 cos 2t by (a) Finding the homogeneous solution yħomogeneous (t). (b) Finding a particular solution yp(t). (c) Use your answers in (b) and (c) to find the general solution, and then find the unique solution y(t) satisfying the initial conditions y(0) 1, y'(0) = 2.

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A: Use the formulas below to evaluate the given integral.

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A: Recall the following fact.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.