1. Curves in a direction field along which the slope of solution curves is constant; lines connecting points where a differential equation has the same slope value.
Usage: mathematics; differential equations; plural form of isocline

Examples

• The isoclines of the differential equation dy/dx = x + y help visualize the direction field.
• By plotting isoclines, we can sketch solution curves without solving the equation explicitly.
• The isoclines for this system are parallel lines with slope 2.
• Students used isoclines to understand the behavior of solutions near equilibrium points.
• The isoclines divide the plane into regions where the slope has different values.