y2 be two solutions for the initial value pre y" +p(t)y' + q(t)y = g(t) T yaits y(to) = yo, y(to) = yo, y'(to) = o- at y(t) = C₁₁ (t) + Gove(t) is alco
y2 be two solutions for the initial value pre y" +p(t)y' + q(t)y = g(t) T yaits y(to) = yo, y(to) = yo, y'(to) = o- at y(t) = C₁₁ (t) + Gove(t) is alco
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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Transcribed Image Text:example 1: Let y₁ and y2 be two solutions for the initial value problem
y"
+p(t)y'+q(t)y = g(t)
y (to) = yo, y'(to) = 0.
Find C₁ and C₂ such that y(t) = C₁y₁ (t) + C2y2(t) is also a solution.
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