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i) Determine whether the given functions is linearly dependent or linearly independent: y1 = 2x2, y2 = 1- x and yz = ii) Solve the given differential equation subject to the indicated initial condition: y" – 25y = 0, y(0) = 3, y'(0) = –3

i) Determine whether the given functions is linearly dependent or linearly independent: y1 = 2x2, y2 = 1- x and yz = ii) Solve the given differential equation subject to the indicated initial condition: y" – 25y = 0, y(0) = 3, y'(0) = –3

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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i) Determine whether the given functions is linearly dependent or linearly independent: Y1 = 2x?, y2 = 1 – x and yz = Vx ii) Solve the given differential equation subject to the indicated initial condition: y" – 25y = 0, y(0) = 3, y'(0) = –3
Transcribed Image Text:i) Determine whether the given functions is linearly dependent or linearly independent: Y1 = 2x?, y2 = 1 – x and yz = Vx ii) Solve the given differential equation subject to the indicated initial condition: y" – 25y = 0, y(0) = 3, y'(0) = –3
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