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
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Chapter2: Second-order Linear Odes
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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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