S3. Suppose a mass-spring system is described by the ODE y" +9y=0 with initial conditionsy(0) = -1, and y'(0) = 0.a) How far from equilibrium will the mass get?b) Will the mass move slower as it passes through equilibrium the 4th time it passes throughcompared to the 1st time?c) Show that the time between a local max (or min) and the subsequent passage throughequilibrium is 1/4 the period.

Given: In this problem, the given details are Here, the given ordinary differential equation is…

Answered: S3. Suppose a mass-spring system is…

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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-Exercise of differential calculus. carry out the exercise step by step and answer according to the items. The real wage of a certain group of workers increases according to the formula W = 2+ (1/5) t between the years 2005 and 2020. The consumer price index is I = 80 + 2t + (1/3) (t ^ 2). The real wage is 100 w /I when adjusted for inflation. Find the marginal real wage in the year 2012. a) -5.45 b) 4.36 c) -4.87 d) 5.81 e) -2.66 f) 1.57
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10.
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1. In a company a worker must make a total of 320 pieces per day as a minimum production target. Francis makes 180 pieces on his first day at work, after 3 days he makes 250 pieces , if the number of parts produced increases at a proportional rate to those missing to produce to complete the minimum target required, a) Propose a Differential Equation for the number of parts produced with respect to time and use it to determine if at 10 days it already meets the minimum target required

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