3. Finally, consider the IVP: cos(t) y'-sin(t) y = 0 y(n/2) = -1 a. Can you find an interval of t-values containing to that does not contain any discontinuities of p(t) or g(t)? b. Based on your answer to the previous question, what conclusions can you draw about solutions to the IVP? c. The general solution for the DE is y = cos(t) Does this provide a solution to our IVP? d. Is there an equilibrium solution that works for our IVP?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. Finally, consider the IVP: cos(t) y'-sin(t) y = 0
y(n/2) = -1
a. Can you find an interval of t-values containing to that does not contain any discontinuities of p(t) or g(t)?
b. Based on your answer to the previous question, what conclusions can you draw about solutions to the IVP?
c. The general solution for the DE is y =
cos(t)
Does this provide a solution to our IVP?
d. Is there an equilibrium solution that works for our IVP?
Transcribed Image Text:3. Finally, consider the IVP: cos(t) y'-sin(t) y = 0 y(n/2) = -1 a. Can you find an interval of t-values containing to that does not contain any discontinuities of p(t) or g(t)? b. Based on your answer to the previous question, what conclusions can you draw about solutions to the IVP? c. The general solution for the DE is y = cos(t) Does this provide a solution to our IVP? d. Is there an equilibrium solution that works for our IVP?
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