Euler Pathology: y' = 1 - x sin(y) with y(0) = 1

Euler Pathology

On this page, we consider numerical approximations to the following initial-value problem:

dx/dt = 1 - x sin(y)
y(0) = 1

Euler's method is used to obtain a graphical representation of the approximate solution on the time interval [0, T]. Values for the maximum time, T, and the number of steps, N, are to be input below.