Exercise 4: IVP solution. Let k#0. Solve the IVP y" + k²y = cos(t), y(0)= 0, y'(0) = 0. Hint: Consider two cases: i) k = 1 and ii) k 1, and solve the IVP separately for every case. Observe that the solutions are essentially different for cases i) and ii); in one case the solution is bounded, in the other case the solution is unbounded. 1

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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TIY
Exercise 4: IVP solution. Let k0. Solve the IVP
y" + k²y = cos(t), y(0)= 0, y'(0) = 0.
Hint: Consider two cases: i) k = 1 and ii) k 1, and solve the IVP separately
for every case. Observe that the solutions are essentially different for cases i)
and ii); in one case the solution is bounded, in the other case the solution is
unbounded.
1
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Transcribed Image Text:TIY Exercise 4: IVP solution. Let k0. Solve the IVP y" + k²y = cos(t), y(0)= 0, y'(0) = 0. Hint: Consider two cases: i) k = 1 and ii) k 1, and solve the IVP separately for every case. Observe that the solutions are essentially different for cases i) and ii); in one case the solution is bounded, in the other case the solution is unbounded. 1 Show Transcribed Text
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