Home > Numerical methods calculators > Numerical differential equation using Euler, Runge-kutta (Rk2, Rk3, Rk4) methods calculator

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution will be displayed step by step (In 4 parts)
Solution
Find Runge-Kutta 2 method y'=-2x-y, y(0)=1, xn=0.5, h=0.1

Solution:
Your problem `->` Runge-Kutta 2 method y'=-2x-y, y(0)=1, xn=0.5, h=0.1


Given `y'=-2x-y, y(0)=1, h=0.1, y(0.5)=?`

Second order R-K method
`k_1=hf(x_0,y_0)=(0.1)f(0,1)=(0.1)*(-1)=-0.1`

`k_2=hf(x_0+h/2,y_0+k_1/2)=(0.1)f(0.05,0.95)=(0.1)*(-1.05)=-0.105`

`y_1=y_0+k_2=1-0.105=0.895`

`:.y(0.1)=0.895`






Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

Share with your friends, if solutions are helpful to you.
 
Copyright © 2019. All rights reserved. Terms, Privacy