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Verify that if y₁ and y2 are solutions of y" + p(t)y' + q(t)y = 0, then so is y = C₁y₁ + C2y2 for any constants c₁ and c₂.

Verify that if y₁ and y2 are solutions of y" + p(t)y' + q(t)y = 0, then so is y = C₁y₁ + C2y2 for any constants c₁ and c₂.

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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Verify that if y₁ and y2 are solutions of y" + p(t)y' + q(t)y y = C₁Y₁ + C2Y2 for any constants C₁ and C₂. = 0, then so is
Transcribed Image Text:Verify that if y₁ and y2 are solutions of y" + p(t)y' + q(t)y y = C₁Y₁ + C2Y2 for any constants C₁ and C₂. = 0, then so is
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