A slope field shows horizontal line segments (zero slopes) along the lines and

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

A slope field shows horizontal line segments (zero slopes) along the lines y=−2y=-2 and y=4y=4. Arrows immediately above y=−2y=-2 point upward, while arrows immediately below y=−2y=-2 point downward. For the line y=4y=4, arrows immediately above point downward and those immediately below point upward. Identify the equilibrium solutions and state whether each is stable, unstable, or semi-stable.

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