Question

Please. I really need help
y'=y(3-ty),y(0)=0.5
t=0.5,1,1.5,2
use step-size of h=0.5
Use Euler's Method

Answer 1

you are essentially taking short line segments from point to point

Answer 2

y' is the slope of the line at any given instance
\[y_{n+1} = y_n'(t_{n+1}-t_n)+y_n\]
looks about right
and the next t is .5 more than the current one

Answer 3

an excel sheet might help to keep track of it all

Answer 4

with any luck i did that correctly