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(Solved): Use Euler's method to approximate the solution to the given initial value problem at the points x=0. ...



Use Euler's method to approximate the solution to the given initial value problem at the points

x=0.1,0.2,0.3,0.4

, and 0.5 , using steps of size 0.1 (

h=0.1

).

(dy)/(dx)=y(6-y),y(0)=9

The approximate solution to

(dy)/(dx)=y(6-y),y(0)=9

, at the point

x=0.1

is

(Round to five decimal places as needed.) The approximate solution to

(dy)/(dx)=y(6-y),y(0)=9

, at the point

x=0.2

is

. (Round to five decimal places as needed.) The approximate solution to

(dy)/(dx)=y(6-y),y(0)=9

, at the point

x=0.3

is

(Round to five decimal places as needed.) The approximate solution to

(dy)/(dx)=y(6-y);y(0)=9

, at the point

x=0.4

is

. (Round to five decimal places as needed.) The approximate solution to

(dy)/(dx)=y(6-y),y(0)=9

, at the point

x=0.5

is

. (Round to five decimal places as needed.)

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