Find the solution of the initial value problem: [y"+ 36 y= 0, y(1) = 2, y'(x) = -3] a) O y=2 cos(6 x) + sin(6 x) b) O y= - 6x + 2 x e°* e 1 O y=2 e6x 6 x xe 2 d) O y= - cos( 6 x) +2 sin(6 x) e) O y=2 cos(6 x) -- sin(6 x) 2 f) O None of the above. c)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the solution of the initial value problem:
[y" + 36 y = 0, y() = 2, y'(x) = -3]
а) О у32 сos(6 х) +
sin(6 x)
b) O y= -
6x + 2 x e°*
e
1
O y=2 e6x
6 x
хе
2
d)
y= - cos(6 x) + 2 sin( 6 x)
e) O y=2 cos(6 x) -- sin(6 x)
2
f) O None of the above.
c)
Transcribed Image Text:Find the solution of the initial value problem: [y" + 36 y = 0, y() = 2, y'(x) = -3] а) О у32 сos(6 х) + sin(6 x) b) O y= - 6x + 2 x e°* e 1 O y=2 e6x 6 x хе 2 d) y= - cos(6 x) + 2 sin( 6 x) e) O y=2 cos(6 x) -- sin(6 x) 2 f) O None of the above. c)
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