Homework Statement
Need to solve
xy''+y'+xy=0 using Runge Kutta on x[1,3]
Couldn't find algorythm to solve second order ODE using this method
I know how to do 1st order
Homework Equations
The Attempt at a Solution
I know I have to make this equation into 2 first order ODE...
mx^''=-kx-cx'
x^''+c/m x^'+k/m x=0
Putting known values into equation:
x^''+100/10 x^'+1000/10 x=0
x^''+10x^'+100x=0
Now solving using power series:
Let assume that:
x(t)=a_0+a_1 t+a_2 t^2+a_3 t^3+..
t_0=0,x_0=0.04 so a_0=0.04...
Homework Statement
A mass of 10kg is suspended from vertical spring of stiffens 100N/m and is provided with dashpot damper having damping coefficient of 1000Ns/m.
The mass is pulled down the distance of 4cm from its equilibrium position and than released.
Establish the differential equation...