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ne solution to y" + 6y' + 9y = 0 is (circle one) (a) undamped (b) over-damped (c) under-damped (d) critically damped The solution to y"+9y = 5cos wt will exhibit (a) resonance when w= (b) beats when w= (There are many correct answers) 3. Sketch the graph of the solution to the initial value problem ay" + by' + cy = 0, u0) = -2, 1/(0) = -1 we know that b0 and b- 4ac < 0. The graph should be clearly labeled. Show some work below to support your answers. Give values of a, b, c and a function f(t) #0 for solution to ay" + by + cy = {(t) a = b= S(t) =. will: (a) be entirely steady-state. (b) have both a steady-state and transient solution.

ne solution to y" + 6y' + 9y = 0 is (circle one) (a) undamped (b) over-damped (c) under-damped (d) critically damped The solution to y"+9y = 5cos wt will exhibit (a) resonance when w= (b) beats when w= (There are many correct answers) 3. Sketch the graph of the solution to the initial value problem ay" + by' + cy = 0, u0) = -2, 1/(0) = -1 we know that b0 and b- 4ac < 0. The graph should be clearly labeled. Show some work below to support your answers. Give values of a, b, c and a function f(t) #0 for solution to ay" + by + cy = {(t) a = b= S(t) =. will: (a) be entirely steady-state. (b) have both a steady-state and transient solution.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. ne solution to y" + 6y' + 9y = 0 is (circle one) (a) undamped (b) over-damped (c) under-damped (d) critically damped The solution to y" + 9y = 5 cos wt will exhibit (a) resonance when w= (b) beats when w= (There are many correct answers) 3. Sketch the graph of the solution to the initial value problem ay" + by +cy = 0, ul0) = -2, 1/(0) = -1 it we know that b0 and b- 4ac < 0. The graph should be clearly labeled, Show some work below to support your answers. Give values of a, b, c and a function f(t) #0 for solution to ay/" + by + cy= f(t) wh.. a = b = S(t) =. c= will : (a) be entirely steady-state. (b) have both a steady-state and transient solution.
Transcribed Image Text:1. ne solution to y" + 6y' + 9y = 0 is (circle one) (a) undamped (b) over-damped (c) under-damped (d) critically damped The solution to y" + 9y = 5 cos wt will exhibit (a) resonance when w= (b) beats when w= (There are many correct answers) 3. Sketch the graph of the solution to the initial value problem ay" + by +cy = 0, ul0) = -2, 1/(0) = -1 it we know that b0 and b- 4ac < 0. The graph should be clearly labeled, Show some work below to support your answers. Give values of a, b, c and a function f(t) #0 for solution to ay/" + by + cy= f(t) wh.. a = b = S(t) =. c= will : (a) be entirely steady-state. (b) have both a steady-state and transient solution.
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