11. (i) Using Picard's approximation method find two iterates of the initial value problem:dy = y + y², y(0) = 1. Compare this result with exact solution.(ii) Find the third approximation of the solution of the initial value problem:= 2%, y(1) = 2 by Picard's method.dy

For a differential equation dydx=fx.y with initial value xo,y0 Picard approximation can be given by…

Answered: (i) Using Picard's approximation method…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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Problem 1RQ

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(i) Using Picard's approximation method find two iterates of the initial value problem: dy=y+y², y(0) = 1. Compare this result with exact solution.