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approximate the solution to:   y' = x2 + y;  y(1)=1. y1(x) ______________     a) y= 1-x+1/6 x3  b) y=-1/2+x+1/2 x2 c) y=-1/3+2x+1/6 x2   d) y=-1+x+1/3 x3  y1(2) ______

approximate the solution to:   y' = x2 + y;  y(1)=1. y1(x) ______________     a) y= 1-x+1/6 x3  b) y=-1/2+x+1/2 x2 c) y=-1/3+2x+1/6 x2   d) y=-1+x+1/3 x3  y1(2) ______

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Using MOSA find the polynomials that will approximate the solution to:   y' = x2 + y;  y(1)=1.

y1(x) ______________ 

   a) y= 1-x+1/6 x3  b) y=-1/2+x+1/2 x2 c) y=-1/3+2x+1/6 x2   d) y=-1+x+1/3 x3 

y1(2) _______________ 

   a) 4.33       b)  4.67      c) 3.33     d) 3.67

y2(x) ______________ 

   a) y= 1.083-x+ 0.5x2 + 0.333x3  b)y= 1.083-x+ 0.5x2 + 0.333x3 +0.0833x4  c) y= 1.083-x+ 2.5x2 + 0.333x3 +1.0833x4   d) y= 1.083-x+ 2.5x2 + 1.333x3 

y2(2) _______________ 

   a) 5.033       b)  5.333      c) 5.083    d) 5.667

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