1. independent in the interval I=(-5, 10)? Are the functions y₁ (r) = max(0, z), 32=1 min{0, z), and ys(z) = 3r), linearly

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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1.
Are the functions y₁ (z) = max(0,r), 3/2 = min{0, z), and ya(z) = 3/2), linearly
independent in the interval I = (-5, 10)?
2.
A mass m> 0 is hanging attached to a series of 2 springs with spring constants
k₁ and k₂. Formulate an ode describing the the mass position and solve it for a given initial
conditions. Assume that the springs satisfy the Hook's law.
Transcribed Image Text:1. Are the functions y₁ (z) = max(0,r), 3/2 = min{0, z), and ya(z) = 3/2), linearly independent in the interval I = (-5, 10)? 2. A mass m> 0 is hanging attached to a series of 2 springs with spring constants k₁ and k₂. Formulate an ode describing the the mass position and solve it for a given initial conditions. Assume that the springs satisfy the Hook's law.
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