Given the ODE: y + by = 0.(a) (6 pts.) If b = 2/3 and y(t = 0) = 4, Solve for y and plot the system response for 10 seconds. (Makesure to label the graph)(b) (3 pts.) What would b need to be so that the time constant of the system were equal to 2 seconds?

The Given ODEPart (a): Solving for y and Plotting the ResponseGiven ODE:ẏ + by = 0 Initial…

Answered: Given the ODE: y + by = 0. (a) (6 pts.)…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Given the ODE: y + by = 0. (a) (6 pts.) If b = 2/3 and y(t = 0) = 4, Solve for y and plot the system response for 10 seconds. (Make sure to label the graph) (b) (3 pts.) What would b need to be so that the time constant of the system were equal to 2 seconds?