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Use the direction field given below to sketch the graphs of the solutions that satisfy the given initial conditions. 20 Tot II +20 1 110 10.- 20 ot- (a) y(0) = 9 y 30 y 30 y 30 y 30 20 20 20 20 10 10 10 40. -20 -10 10 20 -20 -10 10 20 -20 40 10 20 -20 -10 10 20 -10 -10 -10 - 20 -20아 -20 -20 -30 -30 -30 -30

Use the direction field given below to sketch the graphs of the solutions that satisfy the given initial conditions. 20 Tot II +20 1 110 10.- 20 ot- (a) y(0) = 9 y 30 y 30 y 30 y 30 20 20 20 20 10 10 10 40. -20 -10 10 20 -20 -10 10 20 -20 40 10 20 -20 -10 10 20 -10 -10 -10 - 20 -20아 -20 -20 -30 -30 -30 -30

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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Use the direction field given below to sketch the graphs of the solutions that satisfy the given initial conditions. /// /// 20 // //// I +20 1 1 410 10 20, / I -10 20 (a) y(0) = 9 y 30г y 30г y 30 y 30г 20 20 20 20 10 10 10 40 - 20 - 10 10 20 - 20 - 10 10 20 - 20 10 10 20 - 20 - 10 10 20 -10 -10 - 10 - 10 - 20 - 20 -20 - 20 - 20 - 30 -30 -30 - 30
Transcribed Image Text:Use the direction field given below to sketch the graphs of the solutions that satisfy the given initial conditions. /// /// 20 // //// I +20 1 1 410 10 20, / I -10 20 (a) y(0) = 9 y 30г y 30г y 30 y 30г 20 20 20 20 10 10 10 40 - 20 - 10 10 20 - 20 - 10 10 20 - 20 10 10 20 - 20 - 10 10 20 -10 -10 - 10 - 10 - 20 - 20 -20 - 20 - 20 - 30 -30 -30 - 30
(b) y(0) = 0 y 30 y 30г y 30 y 30 20 20 20 20 10 10 10 10 X - 20 - 10 10 20 - 20 -10 10 20 - 20 - 10 10 20 - 20 - 10 10 20 - 10 -10 - 10 - 10 - - 20 - 20 - 20 - 20 - 30 -30 -30 - 30 (c) y(0) = -9 y 30 y 30 y 30 y 30 20 20 20 20 10 10 10 10 I - 20 - 10 10 20 - 20 10 10 20 - 20 - 10 10 20 -20 - 10 10 20 - - 10 - 10 - 10 -10 -20 - 20 - 20 - 20 - 30 - 30 - 30 - 30
Transcribed Image Text:(b) y(0) = 0 y 30 y 30г y 30 y 30 20 20 20 20 10 10 10 10 X - 20 - 10 10 20 - 20 -10 10 20 - 20 - 10 10 20 - 20 - 10 10 20 - 10 -10 - 10 - 10 - - 20 - 20 - 20 - 20 - 30 -30 -30 - 30 (c) y(0) = -9 y 30 y 30 y 30 y 30 20 20 20 20 10 10 10 10 I - 20 - 10 10 20 - 20 10 10 20 - 20 - 10 10 20 -20 - 10 10 20 - - 10 - 10 - 10 -10 -20 - 20 - 20 - 20 - 30 - 30 - 30 - 30
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