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To see the effect of changing the parameter b in the given initial value problem, solve the problem for b= 15, 4√√/11, and 4 and sketch the solutions. y''+by' + 44y=0; y(0)=1, y'(0) = 0 Find the solution to the initial value problem for b = 4. y(t) = 110 sin 210t+ cos 210te-2t

To see the effect of changing the parameter b in the given initial value problem, solve the problem for b= 15, 4√√/11, and 4 and sketch the solutions. y''+by' + 44y=0; y(0)=1, y'(0) = 0 Find the solution to the initial value problem for b = 4. y(t) = 110 sin 210t+ cos 210te-2t

Advanced Engineering Mathematics
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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To see the effect of changing the parameter b in the given initial value problem, solve the problem for b= 15, 4√/11, and 4 and sketch the solutions. y" + by' + 44y=0; y(0) = 1, y'(0) = 0 Find the solution to the initial value problem for b=4. y(t) = 110 sin 210t+ cos 210te - 2t
Transcribed Image Text:To see the effect of changing the parameter b in the given initial value problem, solve the problem for b= 15, 4√/11, and 4 and sketch the solutions. y" + by' + 44y=0; y(0) = 1, y'(0) = 0 Find the solution to the initial value problem for b=4. y(t) = 110 sin 210t+ cos 210te - 2t
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