Professor Dave Explains

Classification of Differential Equations

Professor Dave Explains

Show Notes

Now that we know what differential equations are, we have to learn how to classify them. We have to know whether a DE is ordinary or partial, linear or nonlinear, homogenous or nonhomogenous, autonomous or nonautonomous. We have to be able to determine both the order and the degree of the DE. We have to know the difference between explicit, implicit, and general solutions. We have to know what boundary conditions mean. Let's go over all of this together!Script by Lorcan NichollsWatch the whole Differential Equations playlist: http://bit.ly/ProfDaveDiffeqWatch the whole Mathematics playlist: http://bit.ly/ProfDaveMathClassical Physics Tutorials: http://bit.ly/ProfDavePhysics1Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2General Chemistry Tutorials: http://bit.ly/ProfDaveGenChemOrganic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChemBiochemistry Tutorials: http://bit.ly/ProfDaveBiochemBiology Tutorials: http://bit.ly/ProfDaveBioEMAIL► [email protected]► http://patreon.com/ProfessorDaveExplainsCheck out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!Amazon: https://amzn.to/2HtNpVHBookshop: https://bit.ly/39cKADMBarnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT Learn more about your ad choices. Visit megaphone.fm/adchoices

More from Professor Dave Explains

Oct 24, 2026

What is cholesterol? What does it do in the body? What do people mean by "good" and "bad" cholesterol? How can we use drugs to regulate cholesterol biology? This is a big topic, so let's dig into it!Script by Michael KeithWatch the whole Pharmacology playlist: http://bit.ly/ProfDavePharmaGeneral Chemistry Tutorials: http://bit.ly/ProfDaveGenChemOrganic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChemBiochemistry Tutorials: http://bit.ly/ProfDaveBiochemBiology/Genetics Tutorials: http://bit.ly/ProfDaveBioAnatomy & Physiology Tutorials: http://bit.ly/ProfDaveAnatPhysBiopsychology Tutorials: http://bit.ly/ProfDaveBiopsychMicrobiology/Infectious Diseases Tutorials: http://bit.ly/ProfDaveMicrobioHistory of Drugs Videos: http://bit.ly/ProfDaveHistoryDrugsImmunology Tutorials: http://bit.ly/ProfDaveImmunoEMAIL► [email protected]► http://patreon.com/ProfessorDaveExplainsCheck out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!Amazon: https://amzn.to/2HtNpVHBookshop: https://bit.ly/39cKADMBarnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT Learn more about your ad choices. Visit megaphone.fm/adchoices

Oct 24, 2026

Electrophilic Aromatic Substitution is one thing that benzene does. The mechanisms are getting trickier, no? Don't worry, practice makes perfect. From halogenation to Friedel-Crafts alkylation, this is a handy family of reactions.Watch the whole Organic Chemistry playlist: http://bit.ly/ProfDaveOrgChemGeneral Chemistry Tutorials: http://bit.ly/ProfDaveGenChemBiochemistry Tutorials: http://bit.ly/ProfDaveBiochemBiology Tutorials: http://bit.ly/ProfDaveBioClassical Physics Tutorials: http://bit.ly/ProfDavePhysics1Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2Mathematics Tutorials: http://bit.ly/ProfDaveMathEMAIL► [email protected]► http://patreon.com/ProfessorDaveExplainsCheck out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!Amazon: https://amzn.to/2HtNpVHBookshop: https://bit.ly/39cKADMBarnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT Learn more about your ad choices. Visit megaphone.fm/adchoices

Oct 24, 2026

We know about all kinds of one-dimensional parameters, like side lengths and what not, but now we want to talk about the two-dimensional area that a shape will occupy. This can be thought of as the amount of surface that a shape covers. In this clip, we go over some of the formulas we can use to calculate the area for different shapes, and how these are derived.Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMathClassical Physics Tutorials: http://bit.ly/ProfDavePhysics1Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2General Chemistry Tutorials: http://bit.ly/ProfDaveGenChemOrganic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChemBiochemistry Tutorials: http://bit.ly/ProfDaveBiochemBiology Tutorials: http://bit.ly/ProfDaveBioEMAIL► [email protected]► http://patreon.com/ProfessorDaveExplainsCheck out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!Amazon: https://amzn.to/2HtNpVHBookshop: https://bit.ly/39cKADMBarnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT Learn more about your ad choices. Visit megaphone.fm/adchoices

Oct 24, 2026

The relative pronoun refers back to the word that precedes it, which is called the antecedent. This is a common construction in Latin so let's learn about it!Script by Patrizia Farina, Professor of Italian at Western Connecticut State University and Purchase College.Watch the whole Latin playlist: http://bit.ly/ProfDaveLatinItalian Tutorials: http://bit.ly/ProfDaveItalianAmerican History Tutorials: http://bit.ly/ProfDaveAmericanHistoryPhilosophy Tutorials: http://bit.ly/ProfDavePhiloClassical Physics Tutorials: http://bit.ly/ProfDavePhysics1Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2General Chemistry Tutorials: http://bit.ly/ProfDaveGenChemOrganic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChemBiochemistry Tutorials: http://bit.ly/ProfDaveBiochemBiology Tutorials: http://bit.ly/ProfDaveBioEMAIL► [email protected]► http://patreon.com/ProfessorDaveExplainsCheck out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!Amazon: https://amzn.to/2HtNpVHBookshop: https://bit.ly/39cKADMBarnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT Learn more about your ad choices. Visit megaphone.fm/adchoices

Oct 23, 2026

We've taken a look at many nouns from the first and second declensions. Now let's dive into the third declension, which is a bit trickier. This declension is divided into two subgroups: parasyllabic and imparisyllabic nouns. What do these terms mean? Let's dive into the imparisyllabic nouns first.Script by Patrizia Farina, Professor of Italian at Western Connecticut State University and Purchase College.Watch the whole Latin playlist: http://bit.ly/ProfDaveLatinItalian Tutorials: http://bit.ly/ProfDaveItalianAmerican History Tutorials: http://bit.ly/ProfDaveAmericanHistoryPhilosophy Tutorials: http://bit.ly/ProfDavePhiloClassical Physics Tutorials: http://bit.ly/ProfDavePhysics1Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2General Chemistry Tutorials: http://bit.ly/ProfDaveGenChemOrganic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChemBiochemistry Tutorials: http://bit.ly/ProfDaveBiochemBiology Tutorials: http://bit.ly/ProfDaveBioEMAIL► [email protected]► http://patreon.com/ProfessorDaveExplainsCheck out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!Amazon: https://amzn.to/2HtNpVHBookshop: https://bit.ly/39cKADMBarnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT Learn more about your ad choices. Visit megaphone.fm/adchoices

See all episodes →