The solution of the differential equation 3xły" + xy' + y = 0 (x > 0) is the function y(x) = C, y,(x) + C2 y2(x). Find y,(x) and y,(x). Also, find the constants C, and C, if y(1) = 2, y'(1)=2. A. y;(x) = V In(x) , y2(x) sin 3 In(x)|, C, = 2, C2 = 2/2 3 B. y,(x) = V * sin In(x), y2(x) = In(x), c, = 2, C, = 2\2 CoS 3 O C. y,(x) = V cos 2 COS 3 - In(x), y2(x) = Vx sin In(x), C . C, = 2, C2 = - 2^/2 %3D 3 O D. y,(x) = & cos In(x),y,x) = {x sin In(x), C, = 2, C2 = - 2/2 3
The solution of the differential equation 3xły" + xy' + y = 0 (x > 0) is the function y(x) = C, y,(x) + C2 y2(x). Find y,(x) and y,(x). Also, find the constants C, and C, if y(1) = 2, y'(1)=2. A. y;(x) = V In(x) , y2(x) sin 3 In(x)|, C, = 2, C2 = 2/2 3 B. y,(x) = V * sin In(x), y2(x) = In(x), c, = 2, C, = 2\2 CoS 3 O C. y,(x) = V cos 2 COS 3 - In(x), y2(x) = Vx sin In(x), C . C, = 2, C2 = - 2^/2 %3D 3 O D. y,(x) = & cos In(x),y,x) = {x sin In(x), C, = 2, C2 = - 2/2 3
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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Transcribed Image Text:The solution of the differential equation
3xły" + xy' + y = 0 (x > 0)
is the function
y(x) = C, y,(x) + C2 y2(x).
Find y,(x) and y,(x). Also, find the constants C, and C, if y(1) = 2, y'(1)=2.
O A. y,(x) = V cos
- In(x), y2(x) =
* sin
- In(x) , C, = 2, C, = 2/2
3
3
O B. y,(x) = cos In(x), y,(x) = sin
- In(x)|, C, = 2, C, = 2/2
COS
O C. y,(x) = Vx cos
In(x), y2(x) =
3
sin
3
In(x)|, C, = 2, C2 =- 2/2
D. y,(x) = Vx cos
3
cos
-i sin
, C; = 2, C, = - 2/2
-In(x
Y2(x) =
3
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