MY DIFFERENTIAL EQUATIONS PLAYLIST: ► • Ordinary Differential ...
My Open Source (i.e free) ODE Textbook: ►web.uvic.ca/~tbazett/diffyqs
What is the analog of Linear Independence for functions? If this was just vectors linear independence would mean the only way you can take a linear combination that adds up to zero is the trivial linear combination with all the coefficients being zero. Same for functions. However, we do have one extra tool called the Wronskian, which is a nifty little determinant that we can use to create a quick test for linear dependence of a set of functions. The connection to differential equations will be that we will be looking for a fundamental set of solutions which will have to be linearly independent, more on that in the next video.
0:00 2D case
1:22 Geometric Picture
2:27 Linear Independence
5:54 The Wronskian
8:37 Example
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: • Discrete Math (Full Co...
►LINEAR ALGEBRA: • Linear Algebra (Full C...
►CALCULUS I: • Calculus I (Limits, De...
► CALCULUS II: • Calculus II (Integrati...
►MULTIVARIABLE CALCULUS (Calc III): • Calculus III: Multivar...
►VECTOR CALCULUS (Calc IV) • Calculus IV: Vector Ca...
►LAPLACE TRANSFORM: • How to solve ODEs with...
OTHER PLAYLISTS:
► Learning Math Series
• 5 Tips To Make Math Pr...
►Cool Math Series:
• Cool Math Series
BECOME A MEMBER:
►Join: / @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): / treforbazett
►Instagram (photography based): / treforphotography
20 июл 2024