00:01
We are given an initial value problem.
00:04
We are asked to use euler's method with a specific step size to find the value of a solution at some point x.
00:20
We're given differential equation y prime equals y plus xy with initial value y of zero equals 1.
00:28
And the step size is 0 .1, and we want to find y of 0 .5 approximately.
00:38
So since step size is 0 .1 and we're starting at x0 equals 0, we'll expect 5 steps.
00:47
We have x0, y0 is going to be y of x 0, which is 1.
01:01
X1 is going to be x0 plus our step size, which is 0.
01:06
And y1 is going to be y0 plus our step size times our function y plus xy evaluated at x0.
01:18
Y0, which is simply 1.
01:25
This is equal to 1 .1...