b) y" +3y' + 2y = e; y(0) = 0, y'(0) = 3 c) y" +9y = sin(2x); y(0) = 1, y'(0) = 0 d) (4) (0) (0) (0) (3)(0)
b) y" +3y' + 2y = e; y(0) = 0, y'(0) = 3 c) y" +9y = sin(2x); y(0) = 1, y'(0) = 0 d) (4) (0) (0) (0) (3)(0)
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 only need help with parts b and c. Solve using the characteristic equation. Please show all steps clearly.
Transcribed Image Text:4. Solve the following initial value problem:
a) y" + 4y= 2x; y(0) = 1, y'(0) = 2
b) y" + 3y + 2y = e; y(0) = 0, y'(0) = 3
c) y" +9y=sin(2x); y(0) = 1, y'(0) = 0
d) y (4)-y=5; y(0) = y'(0) = y"(0) = y³) (0) = 0
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