The Derivatives Of A Function y'=f(x,y)

Question

I'm having problem in finding $y''''$ if $y'=F(x,y)=f$ and $y''=fx + ffy$. Any help on this? I know that i will a multi variate chain rule since it is a function of two variables but i got confused later. what's the solution?

score 1 · Answer 1 · answered Nov 10 '13 at 00:55

1

Example calculations are given on page 46 of Goursat, it really just amounts to applying the chain rule to $f(x,y)$.

answered Nov 10 '13 at 00:55

bolbteppa

4,389

score 0 · Answer 2 · answered Nov 10 '13 at 01:41

0

The calculations get rather intense. I have mathematica code here:

http://www.math.missouri.edu/~stephen/num-methods/5.4.runge.kutta.nb

answered Nov 10 '13 at 01:41

Stephen Montgomery-Smith

26,430
2
35
64

The Derivatives Of A Function y'=f(x,y)

2 Answers2