1.
Use Euler's method with step size 0.50.5 to compute the
approximate yy-values y1≈y(0.5), y2≈y(1),y3≈y(1.5), and y4≈y(2) of
the solution of the initial-value problem
y′=1+3x−2y, y(0)=2.
y1=
y2=
y3=
y4=
2.
Consider the differential equation dy/dx=6x, with initial
condition y(0)=3
A. Use Euler's method with two steps to
estimate y when x=1:
y(1)≈ (Be sure not to round your
calculations at each step!)
Now use four steps:
y(1)≈
B. What is the solution to this differential
equation (with the given initial...