The graph shows the solution to [math]dy/dx=y/x-1[/math] in green. The constant of integration [math]c[/math], can be changed to see different solutions. The black lines show an approximation to the function using Euler's method. The step size, [math]h[/math], for Euler's method can also be adjusted.
[list=1] [*]What is the approximate relationship between the number of steps and the error? [*]Is there a relationship between the step size and the error? [/list]