Geodesic of the arc length || on surface 𝒔=∫√(𝒙(𝒂+(𝒚′ )^𝟐 ) ) 𝒅𝒙 || 18mat31 || Dr Prashant Patil
In this video, it is shown that the geodesic of the arc length on the surface 𝒔=∫√(𝒙(𝒂+(𝒚^′ )^𝟐 ) ) 𝒅𝒙 is a parabola (𝒚−𝒄_𝟐 )^𝟐=𝟒(𝒄_𝟏 )^𝟐 (𝒙−(𝒄_𝟏 )^𝟐) #DrPrashantPatil#Geodesic#CalculusofVariations#18MAT31_Module05#Lecture15 For more videos and playlist of Engineering Mathematics go through the playlists 1)18MAT31- TRANSFORM CALCULUS, FOURIER SERIES AND NUMERICAL TECHNIQUES: 1) Laplace Transforms [18MAT31-Module 01]: • Laplace Transforms 2) Inverse Laplace Transform [18MAT31-Module 01]: • Inverse Laplace Transform || Dr Prashant P... 3) Fourier Series | 18mat31 | Module 02 | Dr Prashant Patil • Fourier Series | 18mat31 | Module 02 | Dr ... 4) Numerical Methods for ODE | 18mat31 | Module 04 & 05 | Dr Prashant Patil • Numerical Methods for ODE | Module 04 & 05... 5) Calculus of Variations | 18mat31 | Module 05 | Dr Prashant Patil • Calculus of Variations | 18mat31 | Module ... 2)18MAT21- Advanced Calculus and Numerical Techniques: 1) Vector Calculus [18MAT21-Module 01]: • Vector Calculus || BMATE201 2) Ordinary Differential Equation of Higher order[18MAT21-Module 02]: • Ordinary Differential Equation of Higher o... 3) Partial Differential Equations [18MAT21-Module 03]: • Partial Differential Equations | 18matdip4... 4) Infinite Series [18MAT21-Module 04]: • Infinite Series [18MAT21-Module 04] 3) 18MAT41- Complex Analysis, Probability and Statistical Methods: 1) Conformal Transformations[18MAT41-Module 02] • Conformal Transformations || 18MAT41 || Dr... 2) Complex Integration[18MAT41-Module 02] • Complex Integration || 18MAT41 || Dr Pras... 3) Probability Distributions[18MAT41-Module 03] • Probability Distributions[18MAT41-Module 03] 4) Joint Probability Distribution and Sampling [18MAT41-Module 05] • Joint Probability Distribution and Samplin... 4)18MATDIP41- Additional Mathematics II: 1) Probability[18MATDIP41-Module05] • 18MATDIP41 | Additional Mathematics II | P...
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