Higher Order Constant Coefficient Differential Equations: y'''+y'=0 and y''''-3y'''+3y''-y'=0
71.9 هزار بار بازدید -
3 سال پیش
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MY DIFFERENTIAL EQUATIONS PLAYLIST: ►
MY DIFFERENTIAL EQUATIONS PLAYLIST: ►Ordinary Differential Equations (ODEs)
Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs
In the previous videos in our ODE playlist we have seen how to solve constant coefficient homogeneous second order differential equations like y''+2y'+y=0. We saw how there were three options, distinct real roots, repeated real roots, and complex pairs to the characteristic aka auxiliary equation. The same basic idea applies for higher order differential equations as well, its just that we have more roots but they are all the same possibilities.
0:00 Intro
1:00 Example 1
6:40 Example 2
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: Linear Algebra (Full Course)
►CALCULUS I: Calculus I (Limits, Derivative, Integ...
► CALCULUS II: Calculus II (Integration Methods, Ser...
►MULTIVARIABLE CALCULUS (Calc III): Calculus III: Multivariable Calculus ...
►VECTOR CALCULUS (Calc IV) Calculus IV: Vector Calculus (Line In...
►LAPLACE TRANSFORM: How to solve ODEs with infinite serie...
OTHER PLAYLISTS:
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5 Tips To Make Math Practice Problems...
►Cool Math Series:
Cool Math Series
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Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs
In the previous videos in our ODE playlist we have seen how to solve constant coefficient homogeneous second order differential equations like y''+2y'+y=0. We saw how there were three options, distinct real roots, repeated real roots, and complex pairs to the characteristic aka auxiliary equation. The same basic idea applies for higher order differential equations as well, its just that we have more roots but they are all the same possibilities.
0:00 Intro
1:00 Example 1
6:40 Example 2
OTHER COURSE PLAYLISTS:
►DISCRETE MATH: Discrete Math (Full Course: Sets, Log...
►LINEAR ALGEBRA: Linear Algebra (Full Course)
►CALCULUS I: Calculus I (Limits, Derivative, Integ...
► CALCULUS II: Calculus II (Integration Methods, Ser...
►MULTIVARIABLE CALCULUS (Calc III): Calculus III: Multivariable Calculus ...
►VECTOR CALCULUS (Calc IV) Calculus IV: Vector Calculus (Line In...
►LAPLACE TRANSFORM: How to solve ODEs with infinite serie...
OTHER PLAYLISTS:
► Learning Math Series
5 Tips To Make Math Practice Problems...
►Cool Math Series:
Cool Math Series
BECOME A MEMBER:
►Join: @drtrefor
MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
SOCIALS:
►Twitter (math based): Twitter: treforbazett
►Instagram (photography based): Instagram: treforphotography
3 سال پیش
در تاریخ 1400/01/08 منتشر شده
است.
71,985
بـار بازدید شده