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It can be shown that y₁ = 2 and y2 = = cos²(9x) + sin²(9x) are solutions to the differential equation 9x³ sin(2x) (a) What does the Wronskian of y₁, y2 equal on (0,4)? W(31, 32) = on (0,4). (b) Is {y1, y2} a fundamental set for the given differential equation? Choose ✓ d'y dx² - 2x² cos(9x). = 0 on (0,4). dy dx

It can be shown that y₁ = 2 and y2 = = cos²(9x) + sin²(9x) are solutions to the differential equation 9x³ sin(2x) (a) What does the Wronskian of y₁, y2 equal on (0,4)? W(31, 32) = on (0,4). (b) Is {y1, y2} a fundamental set for the given differential equation? Choose ✓ d'y dx² - 2x² cos(9x). = 0 on (0,4). dy dx

Advanced Engineering Mathematics
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 = 2 and y2 = cos²(9x) + sin²(9x) are solutions to the differential equation 9x³; sin(2x) d'y dx² (a) What does the Wronskian of y1, y2 equal on (0,4)? W (y1, y2) = on (0,4). (b) Is {y₁, y2} a fundamental set for the given differential equation? Choose ✓ - 2x² cos(9x). = 0 on (0,4). dy dx
Transcribed Image Text:It can be shown that y₁ = 2 and y2 = cos²(9x) + sin²(9x) are solutions to the differential equation 9x³; sin(2x) d'y dx² (a) What does the Wronskian of y1, y2 equal on (0,4)? W (y1, y2) = on (0,4). (b) Is {y₁, y2} a fundamental set for the given differential equation? Choose ✓ - 2x² cos(9x). = 0 on (0,4). dy dx
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