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(a) What's one trivial solution? (b) Suppose the general solution is y(x) = C1 +C2 cos(3x)+C3 sin(-3x). Find a3(x), az(x), and a1(x). (c) Suppose a3(x) = kzx³, a2(x) = k2x², and a1(x) = k1x. When does the equation have a unique solution satisfying y(0) = 1, y' (0) = 2, and y" (0) = 3? (d) What sources did you use for this exercise?

(a) What's one trivial solution? (b) Suppose the general solution is y(x) = C1 +C2 cos(3x)+C3 sin(-3x). Find a3(x), az(x), and a1(x). (c) Suppose a3(x) = kzx³, a2(x) = k2x², and a1(x) = k1x. When does the equation have a unique solution satisfying y(0) = 1, y' (0) = 2, and y" (0) = 3? (d) What sources did you use for this exercise?

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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Consider a3 (x)y" + a2(x)y" + a1(x)y' = 0 (a) What's one trivial solution? (b) Suppose the general solution is y(x) = C1+C2 cos(3x)+C3 sin(-3x). Find az (x), a2(x), and a1(x). = k3x³, a2(x) = k2x², and a1(x) = k1x. When does the equation have a (c) Suppose az(x) unique solution satisfying y(0) = 1, y'(0) = 2, and y" (0) = 3? %3| (d) What sources did you use for this exercise?
Transcribed Image Text:Consider a3 (x)y" + a2(x)y" + a1(x)y' = 0 (a) What's one trivial solution? (b) Suppose the general solution is y(x) = C1+C2 cos(3x)+C3 sin(-3x). Find az (x), a2(x), and a1(x). = k3x³, a2(x) = k2x², and a1(x) = k1x. When does the equation have a (c) Suppose az(x) unique solution satisfying y(0) = 1, y'(0) = 2, and y" (0) = 3? %3| (d) What sources did you use for this exercise?
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