Topic explanation

Standard explanation

A slope field displays derivative values; solution curves follow local line directions without crossing under standard uniqueness.

Key points

• Slope fields and qualitative behaviour
• rule
• worked example
• Slope fields and qualitative behaviour: A slope field displays derivative values; solution curves follow local line directions without cross
• CONCEPT AND RULE: A slope field displays derivative values; solution curves follow local line directions without cross
• METHOD: For slope fields and qualitative behaviour, identify the given information and required result. Sele
• A slope field displays derivative values; solution curves follow local line directions without crossing under standard uniqueness.
• Worked pattern: For y'=y, slopes are zero on y=0 and positive above it.

Labelled diagram