Question

y '= 1 + 3x - 2y, y (1) = 2

Determine an approximation to y (2) by use of Euler's method with step-by-step
length 0.25.

Answer 1

\[y_{n+1}=y_n+ y'_n(h)\]

Answer 2

h=1
x=1.25

y(1.25)=y(1)+y'(x,y)(.25)
=2 + 2(.25)

Answer 3

do it three more time

Answer 4

\[y=(1/4)+(3x/2)+K*1/(e^2x+C)\]

Equation itself, the K and C being constants of integration

Answer 5

This is numerical solution problem