Runge kutta method second order differential equation simple example(PART-1)

In this video explaining second order differential equation Runge kutta method. This method is very simple and easy steps. The Runge-Kutta method is a numerical method used to approximate the solution of a first-order ordinary differential equation (ODE) given an initial condition. The second-order Runge-Kutta method also known as the midpoint method is a commonly used variation of the Runge-Kutta method that is particularly useful for solving second-order differential equations.

#easymathseasytricks

LAPLACE TRANSFORM : 18MAT31

Fourier Transforms,Z-transform : 18MAT31 & 17MAT31

Fourier Series: 18MAT31 & 17MAT31

Calculus of Variation & Numerical Methods 18MAT31

Numerical Methods ODE's: 18MAT31 & 17MAT41

COMPLEX NUMBER: 18MATDIP31

Differential Calculus:18MATDIP31

Ordinary differential equation 18MATDIP31 & 17MATDIP31

Integral Calculus 18MATDIP31 & 17MATDIP31

Vector differentiation 18MATDIP31 & 17MATDIP31

Differential Calculus & Partial Differential 18MATDIP31 & 17MATDIP31

Joint Probability & Sampling Theory: 18MAT41 & 17MAT41

Probability Distributions: 18MAT41 & 17MAT41

Calculus of Complex Functions: 18MAT41 & 17MAT41

Curve fitting & Statistical Method 18MAT41 17MAT31

18MATDIP41 Linear Algebra

18MATDIP41 Numerical Methods

18MATDIP41 Higher order ODEs

18MATDIP41 Partial Differential Equations

[umerkhitab]

The video was very informative. One thing, there is a little mistake, while deriving g(x, y, z), both the terms with 1 are positive.

[abdoyasser]

its the first time that i give an indian a like ....thx alot for the clear steps

[sreeram]

Bro i have a small dout, in this g(x) dz/dx=1+2xy+x^2z

[kartikmathur]

Ultimate video
Thank you for explaination
Only mistake is, there will be +ve sign in g(x, y, z)

[ozonewagle]

Thank you so much. But i have one doubt. Why are we not calculating L it similar like k. If we dont need L then why are we doing till end

[WillyChandra]

Sir, why did you add minus on the second equation (dz/dx=all positive)? And why you multiply h two times on the K equation?

[Amitkumar-urly]

Nicely explained thanks a lot. It just cleared this complex topic into easy one 🙂🙂

[asifimtiaz]

why we consider only k terms to the ultimate solution? why not both the k and l terms? please someone kindly clear this topic.

[vinaydesai]

Can you tell me the book which contains this type of problems? btw nice explanation

[himanshu]

Won't the 1 on the RHS of the given problem be considered in the function while computing for consecutive values?

[sagarrawal]

Dear sir, Is it necessary to calculate l4? what it is use for?

[dosenterkuat]

there is amistake in geq. g but your explanation is perfect. Thanks a lot bro

[suhani]

(i) Solve the differential equation (dy)/(dx) = 2xy, y(0) = 1 by Rungekutta second

order method, where 0≤x≤1.
Sir can you solve this sum

[devarajkt]

Helo brother after equating the terms each term will be positive there is no negative in the equation plz check it in text page no.80 of author dr.KSC

[krishnakadiyam]

can you please solve an example of two 2nd order coupled differential equation?

[mitchieroa]

thanks to you I get to answer our final project

[johnvincentjimar]

Thank you sir, you made this topic easy, subbed

[amirkhatami]

Thanks, significantly helpful, great job

[rakshitatembadmani]

Sir hw to solve 2a/r=1+cos thetha and 2a/r=1-cos show tht two lines intersect orthagonally....????

[theall-seeingrinnegan]

Sir how to do Runge Kutta for 2nd Order non-linear?