1 min readβ’april 26, 2020

Jacob Jeffries

Slope fields essentially draw the slopes of line segments that go through certain points. Letβs consider the following differential equation:

The slope (*m*) at point *(x, y)*, in this case, is just *x + y*, which we can put into a table for various coordinates:

We can use this data to draw an approximate solution to the differential equation by **drawing short line segments **through each point that have the corresponding slope: π

Sign up now for instant access to 2 amazing downloads to help you get a 5

Browse Study Guides By Unit

π

Big Reviews: Finals & Exam Prep

βοΈ

Free Response Questions (FRQ)

π§

Multiple Choice Questions (MCQ)

βΎ

Unit 10: Infinite Sequences and Series (BC Only)

π

Unit 1: Limits & Continuity

π€

Unit 2: Differentiation: Definition & Fundamental Properties

π€π½

Unit 3: Differentiation: Composite, Implicit & Inverse Functions

π

Unit 4: Contextual Applications of the Differentiation

β¨

Unit 5: Analytical Applications of Differentiation

π₯

Unit 6: Integration and Accumulation of Change

π

Unit 7: Differential Equations

πΆ

Unit 8: Applications of Integration

π¦

Unit 9: Parametric Equations, Polar Coordinates & Vector Valued Functions (BC Only)

Thousands of students are studying with us for the AP Calculus AB/BC exam.

join nowTake this quiz for a progress check on what youβve learned this year and get a personalized study plan to grab that 5!

START QUIZTake this quiz for a progress check on what youβve learned this year and get a personalized study plan to grab that 5!

START QUIZStudying with Hours = the ultimate focus mode

Start a free study session