Convert the following 4th order ODE into a system of four first orde ODES of the form dy/dt f(t,y). Remember to account for initial conditions in the system you create. %3D 4y"'(t) – 8y"' (t) + 2y"(t) + 16y'(t)- 4y(t) = 20e2t | y(0) = 3, y'(0) = 4, y"(0) = 7 and y"'(0) = 13 %3D %3D %3D

Convert the following 4th order ODE into a system of four first orde ODES of the form dy/dt f(t,y). Remember to account for initial conditions in the system you create. %3D 4y"'(t) – 8y"' (t) + 2y"(t) + 16y'(t)- 4y(t) = 20e2t | y(0) = 3, y'(0) = 4, y"(0) = 7 and y"'(0) = 13 %3D %3D %3D

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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Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

Convert the following 4th order ODE into a system of four first order
ODES of the form dy/dt f(t,y). Remember to account for initial
conditions in the system you create.
4y"'(t) – 8y"' (t) + 2y"(t) + 16y'(t) – 4y(t) = 20e2t
y(0) = 3, y'(0) = 4, y"(0) = 7 and y"'(0) =
= 13
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