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Let y be a solution of the initial value problem 2ty' y = 2t², t>0 and y(1) = = Find y (3). O 10 OO N 4 08 - 23

Let y be a solution of the initial value problem 2ty' y = 2t², t>0 and y(1) = = Find y (3). O 10 OO N 4 08 - 23

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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Let y be a solution of the initial value problem 2ty' - y = 2t², t>0 and y(1) = 3/ Find y (3). OOOO 10 4 8
Transcribed Image Text:Let y be a solution of the initial value problem 2ty' - y = 2t², t>0 and y(1) = 3/ Find y (3). OOOO 10 4 8
Identify the differential equation that produces the given direction field. 2 OO -0.5 -1 -1.5- -2.5 -3 -3.5 0 y' = 1-2y y' = 1 + 2y Oy=-(y + 2) y' = y 2 y' = y + 2 7 I 2 0.5 1 I 1.5 2 t 7 7 L 2.5 3 ✓ 1 3.5 2 7 4
Transcribed Image Text:Identify the differential equation that produces the given direction field. 2 OO -0.5 -1 -1.5- -2.5 -3 -3.5 0 y' = 1-2y y' = 1 + 2y Oy=-(y + 2) y' = y 2 y' = y + 2 7 I 2 0.5 1 I 1.5 2 t 7 7 L 2.5 3 ✓ 1 3.5 2 7 4
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