d³x 2- dt3 dx dt 14. - 12x = 0 Use the matrix system form to find a solution to the differential equation for x(0) = d²x 6, (0) = 4, (0) = 36. Explain if the solution is stable or unstable. dt dt²

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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d³x
2-
dt3
d²x
dt²
dx
14.
dt
-
12x = 0
Use the matrix system form to find a solution to the differential equation for x(0) =
6, (0) = 4, (0) = 36. Explain if the solution is stable or unstable.
dt
Transcribed Image Text:d³x 2- dt3 d²x dt² dx 14. dt - 12x = 0 Use the matrix system form to find a solution to the differential equation for x(0) = 6, (0) = 4, (0) = 36. Explain if the solution is stable or unstable. dt
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