Numerical Analysis 01: Consider the IVP:y = 1+ y, y(0)=0.1. Show that the IVP has a unique solution in D=2. Solve the IVP.3. Use Picard's method to find the 3ed approximate solution y3 (t) of the IVP.

Given differential equation is y'=1+y2, y0=0

Q1: Consider the IVP: y' =1+ y, y(0)=0. 1. Show that the IVP has a unique solution in D={(1,y),-St,ys.- 2. Solve the IVP. 3. Use Picard's method to find the 3ed approximate solution y; (t) of the IVP.

Q1: Consider the IVP: y' =1+ y, y(0)=0. 1. Show that the IVP has a unique solution in D={(1,y),-St,ys.- 2. Solve the IVP. 3. Use Picard's method to find the 3ed approximate solution y; (t) of the IVP.

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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Numerical Analysis

01: Consider the IVP:
y = 1+ y, y(0)=0.
1. Show that the IVP has a unique solution in D=
2. Solve the IVP.
3. Use Picard's method to find the 3ed approximate solution y3 (t) of the IVP.

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