The solution to y 00 = 0 is a straight line y = C +Dt. Convert to a matrix equation: d
Chapter 5, Problem 5.4.26(choose chapter or problem)
The solution to y 00 = 0 is a straight line y = C +Dt. Convert to a matrix equation: d dt " y y 0 # = " 0 1 0 0#"y y 0 # has the solution " y y 0 # = e At " y(0) y 0 (0) # . This matrix A cannot be diagonalized. Find A 2 and compute e At = I +At + 1 2 A 2 t 2 + . Multiply your e At times (y(0),y 0 (0)) to check the straight line y(t) = y(0) + y 0 (0)t.
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