= v, dv = -3 s- 4v valculate the genaral solutions for the displacement S and valocity V as functions of time by solvin his system using eiganvalues and eiganvactors.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Engineering Maths 3

8. An LRC circuit is used to modify V, = a. Tne equation, In terms of current , 1s given by
q' +2q +5q = a with Initial conditions
q(0) = 0 and q'(0) = 0. Convert the givan sacona
the given second
order differantial aquation Into two first order differential equations and then apply the RK4 numerical
racursion formula with 1 = 0, 5 . Do only one racursion where you ganerate the individual values of
the k's and l's (thay will be in terms of U) which you will use to assemble the charge at
= 0,5. Us.
four decimal point accuracy in all calculations.
Transcribed Image Text:8. An LRC circuit is used to modify V, = a. Tne equation, In terms of current , 1s given by q' +2q +5q = a with Initial conditions q(0) = 0 and q'(0) = 0. Convert the givan sacona the given second order differantial aquation Into two first order differential equations and then apply the RK4 numerical racursion formula with 1 = 0, 5 . Do only one racursion where you ganerate the individual values of the k's and l's (thay will be in terms of U) which you will use to assemble the charge at = 0,5. Us. four decimal point accuracy in all calculations.
9. Two coupled quantities, dis placement S and velocity V, ara ralated through the system:
ds
dt
dv - -3 s – 4v
dt
Calculate the ganaral solutions for the displacement S and velocity V as functions of time by solving
this system using aigenvalues and eiganvectors.
Transcribed Image Text:9. Two coupled quantities, dis placement S and velocity V, ara ralated through the system: ds dt dv - -3 s – 4v dt Calculate the ganaral solutions for the displacement S and velocity V as functions of time by solving this system using aigenvalues and eiganvectors.
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