This is an example of an Undamped Forced Oscilation where the phenomenon of Beats Occurs. Find the solution of the intial value problem: z" + 33.64z = 2 cos(6€), z(0) = z'(0) = 0 r(t) = Graph the solution to confirm the phenomenon of Beats. Note that you may have to use a large window in order to see more than one beat. What is the length of each beat? Length = Would you be able to explain why the beats phenomenon occurs for this particular example?

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Q: 31V15

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Q: (1+x²) uz + Uy = 0, u (1, y) = sec y

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Q: (1+ a²) uz + Uy = 0, u(1, y) = sec y

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Q: Figure IGraph(a) 2 5 6. 7

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.