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We solve differential equations using Wolfram's Mathematica 10. In particular, we show how to: 1. Plot a family of solutions 2. Use the DSolveValue function to solve differential equations and IVPs. 3. Use Tables to Plot a set of solutions 4. Plot Direction Fields using StreamPlot. Though we are using Mathematica version 10, many of these features will work in other versions of Mathematica. -------------------------------------------------------------------------------------------------------- SUBSCRIBE for updates and connect with me on Facebook! / johnestesmath And Twitter: / johnestesmath And find more of my notes here: https://johnestesmath.wordpress.com/ I’m Dr. John Estes, the Yerger Chair of Mathematics, Director of Engineering Partnerships, and Associate Professor of Mathematics at Belhaven University. I have been teaching mathematics professionally since 2008, and I love helping students understand the wonderful world of mathematics more. -------------------------------------------------------------------------------------------------------- Come and study with me at Belhaven University! Belhaven University (tour): • Belhaven University Campus Tour Belhaven Mathematics: • Mathematics Degree in College, Belhaven Un... Belhaven Engineering: • Engineering Degree in College, Belhaven Un... ----------------------------------------------------------------------------------------------------------- Chordal meander 4 provided by Sub-d found free to download on Freesound.org https://freesound.org/people/Sub-d/so...