Find the solution of the given initial-value problem. a) y cos(3x)-sin(3 x) 172 405 b) c) d) O e) O y-cos(3.x) - sin (3x) + 172 405 = cos(3x)+ 172 405 172 405 cos(3x)+sin(3x) + x² cos(3x)+sin(3x)-x²+ 172 405 1)None of the above. - sin(3x) y"+9y=x²+6e [x(0)=1, y'(0)=5] + ²0 = -0

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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Question 3
Find the solution of the given initial-value problem.
a) y = 10 cos(3x) - 2 sin (3x)
172
405
b) y =
c) y =
d) O
e) ○ y=
172
cos(3 x) - sin (3x) -
(3x) + +/- x
cos(3x) + sin (3x)
172
405
172
405
-cos(3x)+sin(3x) +
sin (3x)
y"+9y=x²+6e²
[y(0) = 1, y '(0)=5]
(3 x ) + 1 = 2 x ³² - 3/3/7/2 + 1/²/3
f) None of the above.
172
- cos(3x)+sin(3x) -
(3x) — -— - x² + 3/12 -
405
Transcribed Image Text:Question 3 Find the solution of the given initial-value problem. a) y = 10 cos(3x) - 2 sin (3x) 172 405 b) y = c) y = d) O e) ○ y= 172 cos(3 x) - sin (3x) - (3x) + +/- x cos(3x) + sin (3x) 172 405 172 405 -cos(3x)+sin(3x) + sin (3x) y"+9y=x²+6e² [y(0) = 1, y '(0)=5] (3 x ) + 1 = 2 x ³² - 3/3/7/2 + 1/²/3 f) None of the above. 172 - cos(3x)+sin(3x) - (3x) — -— - x² + 3/12 - 405
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