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The differential equation: d² x dt.² + bdx + cx = 0 dt has a solution given by: y = Aemx + Benx where m = 2.7 and n = -2.99 are real. If the initial conditions are y = 1.8 and dy/dt = 3.1 when x = 0, find the values of B. Give your answer to 3 decimal places. a

The differential equation: d² x dt.² + bdx + cx = 0 dt has a solution given by: y = Aemx + Benx where m = 2.7 and n = -2.99 are real. If the initial conditions are y = 1.8 and dy/dt = 3.1 when x = 0, find the values of B. Give your answer to 3 decimal places. a

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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The differential equation: d² x dt.² has a solution given by: y = Aemx + Benx where m = 2.7 and n = -2.99 are real. a + b + cx = 0 dx dt If the initial conditions are y = 1.8 and dy/dt = 3.1 when x = 0, find the values of B. Give your answer to 3 decimal places.
Transcribed Image Text:The differential equation: d² x dt.² has a solution given by: y = Aemx + Benx where m = 2.7 and n = -2.99 are real. a + b + cx = 0 dx dt If the initial conditions are y = 1.8 and dy/dt = 3.1 when x = 0, find the values of B. Give your answer to 3 decimal places.
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