(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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