The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVP
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Free, Open Source textbook on ODEs ► http://web.uvic.ca/~tbazett/diffyqs/
In this video I introduce the core concepts and the precise definitions of Differential Equations. We will define an ordinary differential equation, partial differential equation and system of differential equations. We will also see the order of a differential equation, solutions to a differential equation, the general solution, initial conditions and finally initial value problems (or IVPs). It's a lot. But these ideas collectively are the very foundation of differential equations and we will use them throughout this course.
0:00 ODEs
2:40 PDEs and Systems
3:42 Solutions to ODES
6:32 MAPLE CALCULATOR
8:15 Initial Conditions
9:22 Initial Value Problem
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
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► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►LAPLACE TRANSFORMS: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
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Видео The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVP канала Dr. Trefor Bazett
Get Maple Learn for your computer ►https://www.maplesoft.com/products/learn/?p=TC-9857
The Differential Equations playlist ► https://www.youtube.com/watch?v=B5IjsTONKkw&list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw&ab_channel=Dr.TreforBazett
Free, Open Source textbook on ODEs ► http://web.uvic.ca/~tbazett/diffyqs/
In this video I introduce the core concepts and the precise definitions of Differential Equations. We will define an ordinary differential equation, partial differential equation and system of differential equations. We will also see the order of a differential equation, solutions to a differential equation, the general solution, initial conditions and finally initial value problems (or IVPs). It's a lot. But these ideas collectively are the very foundation of differential equations and we will use them throughout this course.
0:00 ODEs
2:40 PDEs and Systems
3:42 Solutions to ODES
6:32 MAPLE CALCULATOR
8:15 Initial Conditions
9:22 Initial Value Problem
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS
►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6
►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m
► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n
►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd
►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa
►LAPLACE TRANSFORMS: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1
OTHER PLAYLISTS:
► Learning Math Series
https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw
►Cool Math Series:
https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho
BECOME A MEMBER:
►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): http://twitter.com/treforbazett
►Instagram (photography based): http://instagram.com/treforphotography
Видео The Key Definitions of Differential Equations: ODE, order, solution, initial condition, IVP канала Dr. Trefor Bazett
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