Slope field for y' = y*sin(x+y)
The slope field for the differential equation dy / dx = y * sin(x+y).
Drag points A and B around to see how the initial point changes the solution.
The function y*sin(x+y) and its partial derivative with respect to y are continuous everywhere, so there is a unique solution going through every point in the plane.
Can you make the solutions for point A and point B intersect at a point?