Consider the PVI with a second-order ODE, linear, with constant and inhomogeneous coefficients, whose differential equation is incomplete:   y''+4y=3cos(t) y(\pi) = -1 y'(\pi) = 0   It is correct to say that the PVI solution is:

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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Consider the PVI with a second-order ODE, linear, with constant and inhomogeneous coefficients, whose differential equation is incomplete:

 

y''+4y=3cos(t)

y(\pi) = -1

y'(\pi) = 0

 

It is correct to say that the PVI solution is:

 

 

O a
It is correct to say that the PVI solution is:
y(t) = -2 cos" (t) +sin(2t)
[t – a] +1
It is correct to say that the PVI solution is:
y(t) = 2 sin (t) + sin(2t) [t+ x] – 1
It is correct to say that the PVI solution is:
y(t) = – cos(2t) – sin(t) cos(t) +sin(t) cos(t)
It is correct to say that the PVI solution is:
37
-sin(2t) + cos(2t)
y(t) = – cos(2t) –
It is correct to say that the PVI solution is:
y(t) = – cos(2t) –
4
3
-sin(2t) + sin(2t)
Transcribed Image Text:O a It is correct to say that the PVI solution is: y(t) = -2 cos" (t) +sin(2t) [t – a] +1 It is correct to say that the PVI solution is: y(t) = 2 sin (t) + sin(2t) [t+ x] – 1 It is correct to say that the PVI solution is: y(t) = – cos(2t) – sin(t) cos(t) +sin(t) cos(t) It is correct to say that the PVI solution is: 37 -sin(2t) + cos(2t) y(t) = – cos(2t) – It is correct to say that the PVI solution is: y(t) = – cos(2t) – 4 3 -sin(2t) + sin(2t)
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