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...

Number 1

Extracted 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%