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4. a) Use Taylor's method of order 3 to solve the Initial Value Problem 2 y' 2). For 1< x < 2, with y(1) = 1 and h = 0.5 b) Use Modified Euler's Method to approximate y(3) (0.2) and y(8) (0.4) for the Initial Value Problem y' = -(y + 1)(y + 3) with y(0) = -2

4. a) Use Taylor's method of order 3 to solve the Initial Value Problem 2 y' 2). For 1< x < 2, with y(1) = 1 and h = 0.5 b) Use Modified Euler's Method to approximate y(3) (0.2) and y(8) (0.4) for the Initial Value Problem y' = -(y + 1)(y + 3) with y(0) = -2

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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4. a) Use Taylor's method of order 3 to solve the Initial Value Problem 2 y' = ?- ) . For 1 < x < 2, with y(1) = 1 and h = 0.5 b) Use Modified Euler's Method to approximate y(3) (0.2) and y(3) (0.4) for the Initial Value Problem y' = = -(y + 1)(y + 3) with y(0) = = -2
Transcribed Image Text:4. a) Use Taylor's method of order 3 to solve the Initial Value Problem 2 y' = ?- ) . For 1 < x < 2, with y(1) = 1 and h = 0.5 b) Use Modified Euler's Method to approximate y(3) (0.2) and y(3) (0.4) for the Initial Value Problem y' = = -(y + 1)(y + 3) with y(0) = = -2
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