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6. Consider a second order differential equation (*) x" + bx' + cx = 0; (b) If b² - 4c > 0, what assumption about b and c ensures that lim x(t) = 0 for every solution x(t)? (b) b>0 b and c constant. 6. (b)

6. Consider a second order differential equation (*) x" + bx' + cx = 0; (b) If b² - 4c > 0, what assumption about b and c ensures that lim x(t) = 0 for every solution x(t)? (b) b>0 b and c constant. 6. (b)

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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6. Consider a second order differential equation (*) x" + bx' + cx = 0; (b) If b² - 4c > 0, what assumption about b and c ensures that lim x(t) = 0 t→∞ for every solution x(t)? b and c constant. 6. (b) b>0
Transcribed Image Text:6. Consider a second order differential equation (*) x" + bx' + cx = 0; (b) If b² - 4c > 0, what assumption about b and c ensures that lim x(t) = 0 t→∞ for every solution x(t)? b and c constant. 6. (b) b>0
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