G11 SUPER GIO
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LEARN MISSIONdifferential equations, slope fields, and growth models

differential equations, slope fields, and growth models

WORKED MODELWORKED SOURCE

Read a slope field

For dy/dx=y, a worked slope field has zero slope on y=0, positive slopes above, negative below, and steeper marks as |y| grows.

  1. Slope depends only on y.
  2. y=0 is equilibrium.
  3. Solutions above zero increase exponentially.

Which curve could be a solution through (0,2)?

MODELDynamic Model Field
CALC
PROVEChoose with evidence
CLUE

Pause. Find what matters. Then make your move.