O (1,0) Find the solution of the initial value problem ry + y(#/2) = 1, r> 0. Answer: -2(T(4) -1 I COS T+ sin zl r cos

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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1. (a) (1,0) Find the solution of the initial value problem ry +2y sin r, such that
y(#/2) = 1, r> 0.
Answer: r-2(# /4) – 1– r cos r+ sin r]
(b) (1,5) Solve the initial value problem
dy 2-e
dt
3+ 2y
y(0) = 0
and determine where the solutions attains its maximum value.
Answer: -+ V2t – et +4
Transcribed Image Text:1. (a) (1,0) Find the solution of the initial value problem ry +2y sin r, such that y(#/2) = 1, r> 0. Answer: r-2(# /4) – 1– r cos r+ sin r] (b) (1,5) Solve the initial value problem dy 2-e dt 3+ 2y y(0) = 0 and determine where the solutions attains its maximum value. Answer: -+ V2t – et +4
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