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$1.9 - PICARD'S ITERATION METHOD In problems 1-3, use Picard's iteration method to find y₁, 92, 93, and y₁. Determine the limit of the sequence {yn (x)} as n →∞o. PROBLEM SET 1.9 1. y'= -y, y(0) = 1 2. y'= 2xy, y(0) = 1 3. y' + y² = 0, y(0) = 0 4. Consider the IVP y = 1 + y², y(0) = 0. Use Picard's iteration method to find y₁, 92, and y3. 5. Solve the IVP in Problem 4 using a method presented in class.

$1.9 - PICARD'S ITERATION METHOD In problems 1-3, use Picard's iteration method to find y₁, 92, 93, and y₁. Determine the limit of the sequence {yn (x)} as n →∞o. PROBLEM SET 1.9 1. y'= -y, y(0) = 1 2. y'= 2xy, y(0) = 1 3. y' + y² = 0, y(0) = 0 4. Consider the IVP y = 1 + y², y(0) = 0. Use Picard's iteration method to find y₁, 92, and y3. 5. Solve the IVP in Problem 4 using a method presented in class.

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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§1.9 – PICARD'S ITERATION METHOD PROBLEM SET 1.9 In problems 1-3, use Picard's iteration method to find y₁, 92, 93, and y4. Determine the limit of the sequence {yn (x)} as n →∞o. 1. y'= -y, y(0) = 1 2. y' = 2xy, y(0) = 1 3. y' + y² = 0, y(0) = 0 4. Consider the IVP y = 1+ y², y(0) = 0. Use Picard's iteration method to find y₁, 92, and y3. 5. Solve the IVP in Problem 4 using a method presented in class.
Transcribed Image Text:§1.9 – PICARD'S ITERATION METHOD PROBLEM SET 1.9 In problems 1-3, use Picard's iteration method to find y₁, 92, 93, and y4. Determine the limit of the sequence {yn (x)} as n →∞o. 1. y'= -y, y(0) = 1 2. y' = 2xy, y(0) = 1 3. y' + y² = 0, y(0) = 0 4. Consider the IVP y = 1+ y², y(0) = 0. Use Picard's iteration method to find y₁, 92, and y3. 5. Solve the IVP in Problem 4 using a method presented in class.
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