Runge Kutta 2. order using the Ti89

Say you have use the Runge Kutta-4 (RK4) Method to solve a 2. order Differential Equation such as :

y”+5y’+y=Sin(x) y'(0)=-1 y(0)=1 h=.5 solve until y at x =1

Use the Numerical Made Easy app at option F3 7 :

Solve the Differential Equation for y” and enter above information as follows:

After entering just press ENTER
to view the solution:

Shows an intermediate step followed by more steps to finally see the final answer :

It is very easy to solve approximate such 2. order Differential Equations using the Runge Kutta Method. Very easy and always right.

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