(c) The velocity of a particle ? ??−1at time ? ? satisfies the differential equation????? = ? + ?, ? > 0Given that when ? = 2, ? = 8, show that when ? = 8, ? = 16(2 + ?? 2) (c) The velocity of a particle v ms-1 at time t s satisfies the differential equationdvt-= v + t, t> 0dtGiven that when t = 2, v = 8, show that when t = 8, v = 16(2 + In 2)

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Answered: (c) The velocity of a particle v ms-1…

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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(c) The velocity of a particle ? ??
−1
at time ? ? satisfies the differential equation
?
??
?? = ? + ?, ? > 0
Given that when ? = 2, ? = 8, show that when ? = 8, ? = 16(2 + ?? 2)

(c) The velocity of a particle v ms-1 at time t s satisfies the differential equation
dv
t-
= v + t, t> 0
dt
Given that when t = 2, v = 8, show that when t = 8, v = 16(2 + In 2)

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