Differential Equations: Direction Fields: Example 1

In this video I go over an example on how to go about generating a direction field as well as using it to draw a particular solution. The differential equation used is y' = x^2 + y^2 - 1 and a particular solution is graphed that passes through the origin (0, 0). This is a pretty simple but useful video in showing how we can estimate a solution to the differential equation without knowing the actual formula for the solution. Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsMBfgeJ04US4Bitig View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-direction-fields-example-1 Related Videos: Differential Equations: Direction Fields: https://youtu.be/zWv1y8Xp1ac Differential Equations: General Overview: https://youtu.be/jit59tIY4UI Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps