Number

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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Number 1

1. Find the general solution of:
a. D(D – 4)y = e2x
b. y" + 16y = 48 sin 4x
2. A particular is moving along the x-axis according to the law
d?x
dx
dt2
+ 6 + 25x = 0
dt
If the particle started at x = 0 with an initial velocity of 12 ft/sec to the left,
determine (a) x in terms of t, (b) the times at which stops occur.
3. A certain sum of money P draws interest compounded continuously. If at a
certain time there is Po dollars in the account, determine the time when the
principal attains the value 2Po dollars, if the annual interest rate is (a) 2% or (b)
4%
Transcribed Image Text:1. Find the general solution of: a. D(D – 4)y = e2x b. y" + 16y = 48 sin 4x 2. A particular is moving along the x-axis according to the law d?x dx dt2 + 6 + 25x = 0 dt If the particle started at x = 0 with an initial velocity of 12 ft/sec to the left, determine (a) x in terms of t, (b) the times at which stops occur. 3. A certain sum of money P draws interest compounded continuously. If at a certain time there is Po dollars in the account, determine the time when the principal attains the value 2Po dollars, if the annual interest rate is (a) 2% or (b) 4%
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