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Question: order of a ODE/PDE and calculations with a definite order term

Question:order of a ODE/PDE and calculations with a definite order term

cosmicstring 218 Maple
derivative
October 20 2008
0

I have a differential equation, let us call it

F:=12*diff(u(x),x$7)^(3/2)*diff(u(x),x$2)^3+8*diff(u(x),x$6)^4+4*diff(u(x),x$4)*diff(u(x),x$3);

First, I need to know the term containing the highest order derivative:

with(PDEtools):

k:=difforder(F);

This command returns k=7 and now I need to deal with the term:

12*diff(u(x),x$7)^(3/2)*diff(u(x),x$2)^3

Now my question begins. How can I get

1) The non-derivative coefficient of this term? (answer is 12)

2) The derivative coefficient of this term? (answer is diff(u(x),x$2)^3)

3) The order of this derivative coefficient? (answer is 2)

4) The degree of the 7th derivative? (answer is 3/2)

5) The degree of the 2nd derivative? (answer is 3)

 

 

 

 
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