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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= 15. y(t) = ----

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= 15. y(t) = ----

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 \( b = 15, 4\sqrt{11}, \) and \( 4 \) and sketch the solutions. \[ y'' + by' + 44y = 0; \quad y(0) = 1, \quad y'(0) = 0 \] --- Find the solution to the initial value problem for \( b = 15 \). \( y(t) = \) [Input Box]
Transcribed Image Text:To see the effect of changing the parameter \( b \) in the given initial value problem, solve the problem for \( b = 15, 4\sqrt{11}, \) and \( 4 \) and sketch the solutions. \[ y'' + by' + 44y = 0; \quad y(0) = 1, \quad y'(0) = 0 \] --- Find the solution to the initial value problem for \( b = 15 \). \( y(t) = \) [Input Box]
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