4y"+4y'+y=0; y(0)=1; y'(0)=2
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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4y"+4y'+y=0; y(0)=1; y'(0)=24y"+4y′+y=0; y(0)=1; y′(0)=2
a.1.) Solve the initial value problem and plot the solution.
a.2.) Detemine the coordinates of the maximum point (tm,ym).
a.3.) Change the second initial condition to y′(0) = b > 0 and find the solution as a function of b
a.4.) Find the coordinates (tM, yM) of the maximum point in terms of b. Describe the dependence of tm and ym on b as b increases.
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