It can be shown that y₁=3 and y2 = cos² (82) + sin²(82) are solutions to the differential equation 82 sin(32) (0,5). (a) What does the Wronskian of y1, 32 equal on (0, 3)? W(v1.32)-on (0,8). (b) Is (1, 2) a fundamental set for the given differential equation? Choose d'y da² -32² cos(82) = 0 on dy de
It can be shown that y₁=3 and y2 = cos² (82) + sin²(82) are solutions to the differential equation 82 sin(32) (0,5). (a) What does the Wronskian of y1, 32 equal on (0, 3)? W(v1.32)-on (0,8). (b) Is (1, 2) a fundamental set for the given differential equation? Choose d'y da² -32² cos(82) = 0 on dy de
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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![It can be shown that y₁=3 and y/2 cos² (82)+sin² (82) are solutions to the differential equation 8a sin(32)
(0.).
(a) What does the Wronskian of y1, 3/2 equal on (0, 2)?
W(v1.32)-on (0,8).
(b) Is (1, 2) a fundamental set for the given differential equation? Choose
d'y
da²
dy
-32² cos(82) = 0 on
de](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e788d3e-29e4-44dd-8b65-e07f8d42fd87%2F7c0caf12-84d0-4b84-8ff6-dbfd2c01bf90%2Fki8hgfl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:It can be shown that y₁=3 and y/2 cos² (82)+sin² (82) are solutions to the differential equation 8a sin(32)
(0.).
(a) What does the Wronskian of y1, 3/2 equal on (0, 2)?
W(v1.32)-on (0,8).
(b) Is (1, 2) a fundamental set for the given differential equation? Choose
d'y
da²
dy
-32² cos(82) = 0 on
de
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