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.)