I am trying to model a shape that is defined with multiple differential equations. For reference, the variables are x and y (from the normal Cartesian plane) and then S (arc length) and theta (angle of the arc length with the horizontal).
The equations are:
dtheta/dS = -sin(theta)/x + y - 2H (a constant)
dx/dS = cos(theta)
dy/dS = sin(theta)
I'm just wondering if MatLab has an easy way to do this. If not, how could I set up a modified Euler's Method to solve this?