1. Convert each second-order IVP into a system of first-order IVPS. (a) my" + cy' + ky = Fo cos(wt), y(0) = 1, y'(0) = -1. 2 + (1 + y) (dy)² = 0, dx dy (b) y- dx² y(1) = 2, y'(1) = 3.
1. Convert each second-order IVP into a system of first-order IVPS. (a) my" + cy' + ky = Fo cos(wt), y(0) = 1, y'(0) = -1. 2 + (1 + y) (dy)² = 0, dx dy (b) y- dx² y(1) = 2, y'(1) = 3.
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:1. Convert each second-order IVP into a system of first-order IVPS.
(a) my" + cy' + ky = Fo cos(wt),
y(0) = 1,
y'(0) = -1.
2
+ (1 + y) (dy)² = 0,
dx
dy
(b) y-
dx²
y(1) = 2,
y'(1) = 3.
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