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:
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
Problem 1RQ
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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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf5f8df2-64ee-4cbe-a0b1-003a264937d5%2F34732225-198f-451e-a16f-533aa2c37e9f%2Fihz9r8_processed.png&w=3840&q=75)
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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