Runge Kutta method for 2nd order ODE || Nuemrical Methods || 18mat31 || Dr Prashant Patil

In this video, the second-order ODE d^2y/dx^2=x(dy/dx)^2-y^2 is solved numerically by the Runge-Kutta method of fourth-order by reducing it into simultaneous first-order ODE. #DrPrashantPatil#NumericalMethods#18MAT31_Module05#Lecture02 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...  

Numerical Solution of y"-xy'-y=0 || Runge Kutta Method || 18mat31 || Dr Prashant Patil
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Numerical Solution of y"-xy'-y=0 || Runge Kutta Method || 18mat31 || Dr Prashant Patil

Numerical Solution of Wave Equation || second order PDE || Dr Prashant Patil
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Numerical Solution of Wave Equation || second order PDE || Dr Prashant Patil

Derivation of Euler's Equation || Calculus of Variations || 18mat31 || Dr Prashant Patil
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Derivation of Euler's Equation || Calculus of Variations || 18mat31 || Dr Prashant Patil

Adam Bashforth Predictor Corrector Method || Numerical Methods || 18mat31 || Dr Prashant Patil
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Adam Bashforth Predictor Corrector Method || Numerical Methods || 18mat31 || Dr Prashant Patil

Z Transforms || Difference equation || 𝒚_(𝒏+𝟐)−𝟔𝒚_(𝒏+𝟏)+𝟗𝒚_𝒏=𝟐^𝒏 || 18mat31 || Dr Prashant Patil
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Z Transforms || Difference equation || 𝒚_(𝒏+𝟐)−𝟔𝒚_(𝒏+𝟏)+𝟗𝒚_𝒏=𝟐^𝒏 || 18mat31 || Dr Prashant Patil

Why Aliens Would NEVER Invade Africa
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Why Aliens Would NEVER Invade Africa

PINK & ORANGE GRADIENT IN HD [3 HOURS]
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PINK & ORANGE GRADIENT IN HD [3 HOURS]

Japan – Schweden Highlights | Gruppe F, FIFA WM 2026 | sportstudio
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Japan – Schweden Highlights | Gruppe F, FIFA WM 2026 | sportstudio

How Google Translate Exposed Russia's Secret Army
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How Google Translate Exposed Russia's Secret Army

Nothing about the honey badger is normal... and here is why
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Nothing about the honey badger is normal... and here is why

Choosy Girls in Matrimonial Market | MATRIMANIA Episode 7 | Standup Comedy by Saikiran
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Choosy Girls in Matrimonial Market | MATRIMANIA Episode 7 | Standup Comedy by Saikiran

Modified Euler's method to find numerical solution of dy/dx=x+sqrt(y) || 18mat31|| Dr Prashant Patil
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Modified Euler's method to find numerical solution of dy/dx=x+sqrt(y) || 18mat31|| Dr Prashant Patil

What Lies Between a Function and Its Derivative? | Fractional Calculus
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What Lies Between a Function and Its Derivative? | Fractional Calculus

8. Runge-Kutta Method of Second Order | Concept & Problem#1 | Numerical Analysis | Numerical Methods
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8. Runge-Kutta Method of Second Order | Concept & Problem#1 | Numerical Analysis | Numerical Methods

From Child Prodigy to Winning Fields Medal, Nobel of Math
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From Child Prodigy to Winning Fields Medal, Nobel of Math

Geodesic on a plane is St. line || Calculus of Variations || 18mat31 || Dr Prashant Patil
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Geodesic on a plane is St. line || Calculus of Variations || 18mat31 || Dr Prashant Patil

But what is a partial differential equation?  | DE2
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But what is a partial differential equation? | DE2

Fourier Sine & Cosine Transform || 18mat31 || Dr Prashant Patil
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Fourier Sine & Cosine Transform || 18mat31 || Dr Prashant Patil

If You Have A Bad Memory, I’ll Help You Fix It In 28 Minutes
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If You Have A Bad Memory, I’ll Help You Fix It In 28 Minutes