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Method of Undetermined Coefficients - Nonhomogeneous 2nd Order Differential Equations
41:28
YouTubeThe Organic Chemistry Tutor
Method of Undetermined Coefficients - Nonhomogeneous 2nd Order Differential Equations
This Calculus 3 video tutorial provides a basic introduction into the method of undetermined coefficients which can be used to solve nonhomogeneous second order differential equations. This video contains plenty of examples and practice problems. Lines & Planes - Intersection: https://www.youtube.com/watch?v=_W3aVWsMp14 Angle Between Two Planes ...
1.3M viewsNov 30, 2019
Bessel Function Applications
SOLVED:Bessel functions Bessel functions arise in the study of wave propagation in circular geometries (for example, waves on a circular drum head). They are conveniently defined as power series. One of an infinite family of Bessel functions is J0(x)=∑k=0^∞ ((-1)^k)/(2^2 k(k !)^2) x^2 k. a. Write out the first four terms of J0. b. Find the radius and interval of convergence of the power series for J0. c. Differentiate J0 twice and show (by keeping terms through x^6 ) that J0 satisfies the equati
SOLVED:Bessel functions Bessel functions arise in the study of wave propagation in circular geometries (for example, waves on a circular drum head). They are conveniently defined as power series. One of an infinite family of Bessel functions is J0(x)=∑k=0^∞ ((-1)^k)/(2^2 k(k !)^2) x^2 k. a. Write out the first four terms of J0. b. Find the radius and interval of convergence of the power series for J0. c. Differentiate J0 twice and show (by keeping terms through x^6 ) that J0 satisfies the equati
numerade.com
May 12, 2020
Special Functions | Bessel, Hermite & Laguerre | Generating Functions, Orthogonality, Recurrence
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