Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

I am trying to animate images generated in a do loop using display and insequence. I get an output but there is no flipping of the image even while I see the frames count flip through the frames. What am I doing wrong? See attached code. Thanks!

Why_cant_I_animate_still_images_like_this.mw

Hey guys, 

in the attached file you can see my problem. Since Maple was not able to calculate my set with 8 equations, 8 variables and 13 inequalities I had to split in into two steps. Here you can see how I try to take one solutions of what I got with solve onto 8 equations with 8 variables and to solve this together with my inequalities. It never was a problem before. So ow I get a weird error I dont understand.

restart; inequalities := {0 < k, 0 < m, 0 < s, 0 < x, 0 < y, 0 < n+(p-1)*s, 0 < (m*y-1)*n+(m*x-m+1)*(1-p), 0 < (m*x-m-s+1)*p+m*y*(s-n), 1 < x+y, k < 1, m < 1, s < t, t < 1}; solve(`union`({k = (x*(1-sqrt(x))+sqrt(x)-2*x)/((x^2-3*x+1)*x), m = (sqrt(x)+x)/(x-1), n = (sqrt(x)+x)/(x-1), p = (-1-sqrt(x))/(x-1), s = (-1-sqrt(x))/(x-1), t = (2*x*(1-sqrt(x))+1+sqrt(x)-5*x)/(x^2-3*x+1), y = 1-sqrt(x)}, inequalities)); inequalities := {0 < k, 0 < m, 0 < s, 0 < x, 0 < y, 0 < n+(p-1)*s, 0 < (m*y-1)*n+(m*x-m+1)*(1-p), 0 < (m*x-m-s+1)*p+m*y*(s-n), 1 < x+y, k < 1, m < 1, s < t, t < 1}

Error, (in unknown) invalid input: SolveTools:-Inequality expects its 1st argument, eqns, to be of type {list, set}({`<`, `<=`, `=`}), but received [p < 1, -p < 0, And(2*argument((p-1)/p) <= Pi,-Pi < 2*argument((p-1)/p))]

 

restart; solve(`union`({k = (x*(1-sqrt(x))+sqrt(x)-2*x)/((x^2-3*x+1)*x), m = (sqrt(x)+x)/(x-1), n = (sqrt(x)+x)/(x-1), p = (-1-sqrt(x))/(x-1), s = (-1-sqrt(x))/(x-1), t = (2*x*(1-sqrt(x))+1+sqrt(x)-5*x)/(x^2-3*x+1), y = 1-sqrt(x)}, {0 < x, 0 < y}))

{k = p^3/(p^3-2*p+1), m = -p+1, n = -p+1, s = p, t = (3*p-2)*p/(p^2+p-1), x = (p^2-2*p+1)/p^2, y = 1-((p^2-2*p+1)/p^2)^(1/2), 3/2+(1/2)*5^(1/2) < p}, {k = p^3/(p^3-2*p+1), m = -p+1, n = -p+1, s = p, t = (3*p-2)*p/(p^2+p-1), x = (p^2-2*p+1)/p^2, y = 1-((p^2-2*p+1)/p^2)^(1/2), 1 < p, p < 3/2+(1/2)*5^(1/2)}, {k = p^3/(p^3-2*p+1), m = -p+1, n = -p+1, s = p, t = (3*p-2)*p/(p^2+p-1), x = (p^2-2*p+1)/p^2, y = 1-((p^2-2*p+1)/p^2)^(1/2), 1/2 < p, p < (1/2)*5^(1/2)-1/2}, {k = p^3/(p^3-2*p+1), m = -p+1, n = -p+1, s = p, t = (3*p-2)*p/(p^2+p-1), x = (p^2-2*p+1)/p^2, y = 1-((p^2-2*p+1)/p^2)^(1/2), p < 1, (1/2)*5^(1/2)-1/2 < p}

(1)

restart; solve(`union`({k = (x*(1-sqrt(x))+sqrt(x)-2*x)/((x^2-3*x+1)*x), m = (sqrt(x)+x)/(x-1), n = (sqrt(x)+x)/(x-1), p = (-1-sqrt(x))/(x-1), s = (-1-sqrt(x))/(x-1), t = (2*x*(1-sqrt(x))+1+sqrt(x)-5*x)/(x^2-3*x+1), y = 1-sqrt(x)}, {0 < s, 0 < x, 0 < y}))

Error, (in unknown) invalid input: SolveTools:-Inequality expects its 1st argument, eqns, to be of type {list, set}({`<`, `<=`, `=`}), but received [-p < 0, And(2*argument((p-1)/p) <= Pi,-Pi < 2*argument((p-1)/p))]

 
 

NULL

So my question is why does this error occur? And what does it mean? the "but received..." argument in the error makes no sense to me. Why does it happen when I add 0<s but 0<x,0<y is okay?

Thank you in advance

Download Why_this_error.mw

Is it possible in maple to resume an asymptotic expansion from a specific order onwards.

To be more specific.

Let's assume that I have the asymptotic expansion to say Order 20 already calculated or can import it from file.

Is it possible for Maple to use the expansion I already have and immediately start calculating Order 21 onwards ?

This will save a lot of time for numerical  expansions that can take literally days to complete.

I try to get some Bilinear form for some PDE equation  and already i have algorithm by writing in lecture but i can't apply i don't what is mistake i did, and i didn't seen some of this lecture code in maple  like (myint(expr,var))
 i  do upload PIcture of algorithm and example which they get Bilinear form 

Bilinear.mw

thanks for any help

dsolve gets stuck on a problem. Attached is the worksheet.

In Case I, dsolve solves the two ODEs separately. In Case II, dsolve solves them together, but only if I define a constant. In Case III the constant is not defined. dsolve never returns, and I have to hit the stop sign. The question I have: Is there a consistent method to the failure so that I can avoid the problem in the future with other ODEs?

dsolve_bug.mw

Question: Is there a style for the icons from the palettes? 

(The rest of this post is a screenshot because MaplePrimes can't show the change in fonts.)s a

why i take intgral from equation it must apply for each term but just by sign is show up how it will work?

restart

with(PDEtools)

with(LinearAlgebra)

NULL

with(SolveTools)

undeclare(prime)

`There is no more prime differentiation variable; all derivatives will be displayed as indexed functions`

(1)

declare(w(x, t))

w(x, t)*`will now be displayed as`*w

(2)

declare(f(x, t))

f(x, t)*`will now be displayed as`*f

(3)

NULL

pde := diff(w(x, t), `$`(t, 2))-a*(diff(w(x, t), `$`(x, 4)))-b*(diff(w(x, t), `$`(x, 2), `$`(t, 2)))+(diff(w(x, t), t))*(diff(w(x, t), `$`(x, 2)))+2*(diff(w(x, t), x))*(diff(w(x, t), x, t)) = 0

diff(diff(w(x, t), t), t)-a*(diff(diff(diff(diff(w(x, t), x), x), x), x))-b*(diff(diff(diff(diff(w(x, t), t), t), x), x))+(diff(w(x, t), t))*(diff(diff(w(x, t), x), x))+2*(diff(w(x, t), x))*(diff(diff(w(x, t), t), x)) = 0

(4)

Y := w(x, t) = 2*(diff(ln(f(x, t)), `$`(x, 2)))

w(x, t) = 2*(diff(diff(f(x, t), x), x))/f(x, t)-2*(diff(f(x, t), x))^2/f(x, t)^2

(5)

L := eval(pde, Y)

2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-a*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-b*(32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+12*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-48*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^4-240*(diff(f(x, t), x))^4*(diff(f(x, t), t))^2/f(x, t)^6+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+48*(diff(f(x, t), x))^4*(diff(diff(f(x, t), t), t))/f(x, t)^5-144*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))^2/f(x, t)^4+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-36*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), t))^2/f(x, t)^4-288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))^2/f(x, t)^5+2*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))/f(x, t)+24*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)^3-8*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2-12*(diff(diff(diff(diff(f(x, t), t), t), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-4*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*(diff(f(x, t), t))/f(x, t)^2-16*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2-12*(diff(diff(diff(f(x, t), t), x), x))^2/f(x, t)^2+4*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2)+(2*(diff(diff(diff(f(x, t), t), x), x))/f(x, t)-2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))/f(x, t)^2-4*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(f(x, t), x))^2*(diff(f(x, t), t))/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), x), x), x), x))/f(x, t)-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+24*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0

(6)

numer(lhs(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-a*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-b*(32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))^2/f(x, t)^5+48*(diff(f(x, t), x))^4*(diff(diff(f(x, t), t), t))/f(x, t)^5-144*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))^2/f(x, t)^4-36*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+24*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)^3-8*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2-12*(diff(diff(diff(diff(f(x, t), t), t), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-4*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*(diff(f(x, t), t))/f(x, t)^2-16*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2+48*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2/f(x, t)^3+12*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-48*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^4-240*(diff(f(x, t), x))^4*(diff(f(x, t), t))^2/f(x, t)^6-288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^4+2*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))/f(x, t)-12*(diff(diff(diff(f(x, t), t), x), x))^2/f(x, t)^2)+(2*(diff(diff(diff(f(x, t), t), x), x))/f(x, t)-2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))/f(x, t)^2-4*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(f(x, t), x))^2*(diff(f(x, t), t))/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), x), x), x), x))/f(x, t)-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+24*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0))*denom(rhs(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), 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t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0)) = numer(rhs(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-a*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-b*(32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, 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x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0))*denom(lhs(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))/f(x, t)^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-4*(diff(diff(f(x, t), t), x))^2/f(x, t)^2+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))/f(x, t)^3-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-a*(2*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))/f(x, t)-12*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+60*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-30*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))^3/f(x, t)^4+240*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))*(diff(diff(f(x, t), x), x))/f(x, t)^3-20*(diff(diff(diff(f(x, t), x), x), x))^2/f(x, t)^2+720*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4/f(x, t)^5-540*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2/f(x, t)^4+60*(diff(diff(f(x, t), x), x))^3/f(x, t)^3-240*(diff(f(x, t), x))^6/f(x, t)^6)-b*(32*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^3+16*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(f(x, t), x), x))*(diff(diff(diff(f(x, t), t), t), x))*(diff(f(x, t), x))/f(x, t)^3+384*(diff(f(x, t), x))^3*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))/f(x, t)^5+32*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3+96*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))/f(x, t)^3+48*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))/f(x, t)^3-48*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))/f(x, t)^4-72*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2/f(x, t)^4-144*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2/f(x, t)^4+288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*(diff(f(x, t), x))^2/f(x, t)^5+48*(diff(f(x, t), x))^4*(diff(diff(f(x, t), t), t))/f(x, t)^5-144*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))^2/f(x, t)^4-36*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), t))^2/f(x, t)^4+24*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))/f(x, t)^3-8*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2-12*(diff(diff(diff(diff(f(x, t), t), t), x), x))*(diff(diff(f(x, t), x), x))/f(x, t)^2-4*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*(diff(f(x, t), t))/f(x, t)^2-16*(diff(diff(diff(diff(f(x, t), t), x), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(f(x, t), t))^2/f(x, t)^3-2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*(diff(diff(f(x, t), t), t))/f(x, t)^2-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^2+48*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2/f(x, t)^3+12*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))/f(x, t)^3-48*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))/f(x, t)^4-240*(diff(f(x, t), x))^4*(diff(f(x, t), t))^2/f(x, t)^6-288*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^4+2*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))/f(x, t)-12*(diff(diff(diff(f(x, t), t), x), x))^2/f(x, t)^2)+(2*(diff(diff(diff(f(x, t), t), x), x))/f(x, t)-2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))/f(x, t)^2-4*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+4*(diff(f(x, t), x))^2*(diff(f(x, t), t))/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), x), x), x), x))/f(x, t)-8*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), x))/f(x, t)^2+24*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2/f(x, t)^3-6*(diff(diff(f(x, t), x), x))^2/f(x, t)^2-12*(diff(f(x, t), x))^4/f(x, t)^4)+2*(2*(diff(diff(diff(f(x, t), x), x), x))/f(x, t)-6*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))/f(x, t)^2+4*(diff(f(x, t), x))^3/f(x, t)^3)*(2*(diff(diff(diff(diff(f(x, t), t), x), x), x))/f(x, t)-6*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))/f(x, t)^2-2*(diff(diff(diff(f(x, t), x), x), x))*(diff(f(x, t), t))/f(x, t)^2+12*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))/f(x, t)^3-6*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))/f(x, t)^2+12*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), x))/f(x, t)^3-12*(diff(f(x, t), x))^3*(diff(f(x, t), t))/f(x, t)^4) = 0))

2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^6-4*(diff(diff(f(x, t), t), x))^2*f(x, t)^5-144*(diff(f(x, t), t))*(diff(f(x, t), x))^6-8*f(x, t)^4*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+120*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2+8*f(x, t)^3*(diff(f(x, t), t))*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))+96*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))+80*f(x, t)^3*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^2*(diff(diff(diff(f(x, t), x), x), x))-216*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2-96*f(x, t)^2*(diff(f(x, t), t))*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))-288*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3+360*f(x, t)*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)^3*(diff(diff(f(x, t), t), x))^2*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))*b+240*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))*a-720*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4*a-48*f(x, t)^2*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^4*b+240*f(x, t)*(diff(f(x, t), t))^2*(diff(f(x, t), x))^4*b-40*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-4*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))*f(x, t)^4-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+36*f(x, t)^3*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))^2*b+540*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2*a-60*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a-24*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+8*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*b+8*f(x, t)^5*(diff(diff(diff(f(x, t), t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-4*f(x, t)^4*(diff(f(x, t), t))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b-12*f(x, t)^4*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2*b+12*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+2*f(x, t)^5*(diff(diff(f(x, t), t), t))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b+16*f(x, t)^5*(diff(diff(f(x, t), t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b+12*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*a+4*f(x, t)^5*(diff(f(x, t), t))*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*b+30*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a+144*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), t))^2*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b+72*f(x, t)^3*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2*b-288*f(x, t)^2*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2*b-384*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3*b+88*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-48*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*b-96*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*b-240*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*a-16*f(x, t)^4*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))*a-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))*b+12*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))^2*b+20*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))^2*a-60*f(x, t)^4*(diff(diff(f(x, t), x), x))^3*a+240*f(x, t)*(diff(f(x, t), x))^6*a-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*f(x, t)^5+4*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*f(x, t)^5-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*f(x, t)^5+8*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))-12*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*f(x, t)^4-8*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(diff(f(x, t), x), x), x))^2+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))*f(x, t)^4-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2*f(x, t)^3+12*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^3+16*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(diff(f(x, t), t), x), x), x))-72*f(x, t)^2*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^5+288*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b = 0

(7)

map(int, -8*f(x, t)^4*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+120*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2+8*f(x, t)^3*(diff(f(x, t), t))*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))+96*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))+80*f(x, t)^3*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^2*(diff(diff(diff(f(x, t), x), x), x))-216*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2-96*f(x, t)^2*(diff(f(x, t), t))*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))-288*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3+360*f(x, t)*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)^3*(diff(diff(f(x, t), t), x))^2*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))*b+240*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))*a-720*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4*a-48*f(x, t)^2*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^4*b+240*f(x, t)*(diff(f(x, t), t))^2*(diff(f(x, t), x))^4*b-40*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-4*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))*f(x, t)^4-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+36*f(x, t)^3*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))^2*b+540*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2*a-60*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a-24*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+8*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*b+8*f(x, t)^5*(diff(diff(diff(f(x, t), t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-4*f(x, t)^4*(diff(f(x, t), t))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b-12*f(x, t)^4*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2*b+12*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+2*f(x, t)^5*(diff(diff(f(x, t), t), t))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b+16*f(x, t)^5*(diff(diff(f(x, t), t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b+12*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*a+4*f(x, t)^5*(diff(f(x, t), t))*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*b+30*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a+144*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), t))^2*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b+72*f(x, t)^3*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2*b-288*f(x, t)^2*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2*b-384*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3*b+88*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-48*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*b-96*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*b-240*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*a-16*f(x, t)^4*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b+2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^6-4*(diff(diff(f(x, t), t), x))^2*f(x, t)^5-144*(diff(f(x, t), t))*(diff(f(x, t), x))^6-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))*a-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))*b+12*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))^2*b+20*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))^2*a-60*f(x, t)^4*(diff(diff(f(x, t), x), x))^3*a+240*f(x, t)*(diff(f(x, t), x))^6*a-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*f(x, t)^5+4*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*f(x, t)^5-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*f(x, t)^5+8*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))-12*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*f(x, t)^4-8*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(diff(f(x, t), x), x), x))^2+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))*f(x, t)^4-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2*f(x, t)^3+12*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^3+16*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(diff(f(x, t), t), x), x), x))-72*f(x, t)^2*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^5+288*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b = 0, x)

int(2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*f(x, t)^6-4*(diff(diff(f(x, t), t), x))^2*f(x, t)^5-144*(diff(f(x, t), t))*(diff(f(x, t), x))^6-8*f(x, t)^4*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+120*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2+8*f(x, t)^3*(diff(f(x, t), t))*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))+96*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))+80*f(x, t)^3*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^2*(diff(diff(diff(f(x, t), x), x), x))-216*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2-96*f(x, t)^2*(diff(f(x, t), t))*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))-288*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3+360*f(x, t)*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)^3*(diff(diff(f(x, t), t), x))^2*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), t), t), x))*b+240*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(f(x, t), x), x), x))*a-720*f(x, t)^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^4*a-48*f(x, t)^2*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^4*b+240*f(x, t)*(diff(f(x, t), t))^2*(diff(f(x, t), x))^4*b-40*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-4*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))+16*(diff(f(x, t), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), t))*f(x, t)^4-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))-24*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))+36*f(x, t)^3*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))^2*b+540*f(x, t)^3*(diff(diff(f(x, t), x), x))^2*(diff(f(x, t), x))^2*a-60*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a-24*f(x, t)^4*(diff(f(x, t), x))^2*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+8*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x))*b+8*f(x, t)^5*(diff(diff(diff(f(x, t), t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-4*f(x, t)^4*(diff(f(x, t), t))^2*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b-12*f(x, t)^4*(diff(diff(f(x, t), x), x))^2*(diff(diff(f(x, t), t), t))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))^2*b+12*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), t), t), x), x))*b+2*f(x, t)^5*(diff(diff(f(x, t), t), t))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*b+16*f(x, t)^5*(diff(diff(f(x, t), t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b+12*f(x, t)^5*(diff(f(x, t), x))*(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x))*a+4*f(x, t)^5*(diff(f(x, t), t))*(diff(diff(diff(diff(diff(f(x, t), t), x), x), x), x))*b+30*f(x, t)^5*(diff(diff(f(x, t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))*a+144*f(x, t)^3*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(f(x, t), x))^2*b+48*f(x, t)^3*(diff(f(x, t), t))^2*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b+72*f(x, t)^3*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))^2*b-288*f(x, t)^2*(diff(f(x, t), t))^2*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))^2*b-384*f(x, t)^2*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^3*b+88*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))-48*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*b-96*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(f(x, t), t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-32*f(x, t)^4*(diff(f(x, t), t))*(diff(f(x, t), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))*b-48*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*b-240*f(x, t)^4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*a-16*f(x, t)^4*(diff(diff(f(x, t), t), t))*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), x), x), x))*b-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), x), x), x), x), x), x))*a-2*f(x, t)^6*(diff(diff(diff(diff(diff(diff(f(x, t), t), t), x), x), x), x))*b+12*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))^2*b+20*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))^2*a-60*f(x, t)^4*(diff(diff(f(x, t), x), x))^3*a+240*f(x, t)*(diff(f(x, t), x))^6*a-4*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), t))*f(x, t)^5+4*f(x, t)^5*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(diff(diff(f(x, t), x), x), x), x))-2*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), t))*f(x, t)^5-4*(diff(f(x, t), x))*(diff(diff(diff(f(x, t), t), t), x))*f(x, t)^5+8*f(x, t)^5*(diff(diff(diff(f(x, t), x), x), x))*(diff(diff(diff(diff(f(x, t), t), x), x), x))-12*f(x, t)^4*(diff(diff(diff(f(x, t), t), x), x))*(diff(diff(f(x, t), x), x))^2+4*(diff(diff(f(x, t), x), x))*(diff(f(x, t), t))^2*f(x, t)^4-8*f(x, t)^4*(diff(f(x, t), t))*(diff(diff(diff(f(x, t), x), x), x))^2+4*(diff(f(x, t), x))^2*(diff(diff(f(x, t), t), t))*f(x, t)^4-12*(diff(f(x, t), x))^2*(diff(f(x, t), t))^2*f(x, t)^3+12*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))^3+16*f(x, t)^3*(diff(f(x, t), x))^3*(diff(diff(diff(diff(f(x, t), t), x), x), x))-72*f(x, t)^2*(diff(diff(diff(f(x, t), t), x), x))*(diff(f(x, t), x))^4+144*f(x, t)*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))^5+288*f(x, t)^3*(diff(f(x, t), t))*(diff(diff(f(x, t), x), x))*(diff(diff(f(x, t), t), x))*(diff(f(x, t), x))*b, x) = 0

(8)

``

(9)
 

``

Download int.mw

The XMLTools:-Validate function can be called with a reference to a schema.

I am a bit unsure where the schema location should be, especially if I can have the .xsd file in a library location.

Have done some tests, and as far as I can see, Maple does not give any error messages if the schema is not found at all. So I'm a bit unsure how to check if the schema defintion actually is read at all.

Something has changed in the past weeks (not sure for how long) and I have not figured out what exactly.

Probably it is me doing something differently while editing an input line. Below is an example where the name data is not italic any more

Anybody else experiencing the same?

My interface seetings:

The local command is really horribly treated in the manual. Very difficult to figure out heads from tails.

What follows is Maple code to unprotect the metric tensor g_[], and alter the components. that part I figured out by trial and error where the manual fails to clearly describe how.

But, the problem I now have, is that the unprotected metric does not show the tensor "visual matrix" form anymore if I execute  g_[] . So it makes it all unusable.

How do I enter the unprotected and altered g_[] back into maple so it can be used to calculate the Ricci tensor, Einstein tensor and such ? I guess it will have to be protected again etc. ?

Here is the code


restart;
with(Physics);
g_[sc];
g_[];
_local(g_[]);
g_[1, 2] := 1;
g_[3, 3];
Physics:-g_[1, 1];
g_[1, 2];
Physics:-g_[1, 1];
g_[];
for x to 4 do
    for y to 4 do g_[x, y] := Physics:-g_[x, y]; end do;
end do;
g_[];


So the question is. How do you reverse a localalized metric back to being protected after you altered the metric ?

How we can calculate solution of this ODE by give assumption to the equation , we have otehr case too, like lambda>0&mu<0

Hello Everyone,

I am wondring if I can  find the StandardRepresentation of a subalgebra of simple Lie algebra?

For example I have this code:

with(DifferentialGeometry);
with(LieAlgebras);
with(Library);
with(LinearAlgebra);

G := SimpleLieAlgebraData("sl(6)", sl6);
DGsetup(G);
StandardRepresentation(sl6);
M3 := MinimalSubalgebra([e30, e35, e20]);
B3 := LieAlgebraData(M3, p62);
Query("Jacobi");
DGsetup(B3);
StandardRepresentation(p62);
Error, (in DifferentialGeometry:-LieAlgebras:-StandardRepresentation) expected a Lie algebra constructed by the procedure SimpleLieAlgebraData
 

For the first StandardRepresentation(sl6); it works becouse of the definition. Now what I want the same idea for the subalgebra. How can I do that?

 

Any reason why the display of a fairly large plot in Maple 2024 (only show a print screen here)


be worst then the display of the same plot in Maple 2020

In 2024, it seams to be rasterized, while in 2020 it is still in vector form. Also the plot does not resize as well in 2024 compare to 2020. Any hint would help!

Maybe large plot are displayed in raster image, there is probably a setting somewhere in the documentation. When I export both are in vector format...

Thanks!

I experience Maple 2024 not beeing responsive.

It happens often that nothing is happening for 10 to 15 seconds after placing the cursor in an input line.

When the cursor is back, typing is normal for a little while and then again Maple is not reacting to user input.

The worksheets I am working with are between 50 and 100 Mb large in file size (containing plot3d structures, approx 1000 frames distributed across several plots:-display statements). It looks to me that the GUI has to do some house keeping from time to time which keeps it buisy with all the plot structures.

I could delete (plot) output, but this would require execution of the worksheet (before deleting the output) each time I want to continue working normally. This takes several minutes to be ready to work.

Anything else that I can do?

I am learning patten matching in Maple. 

Any one could explain why patmatch(1, (x::anything)^(n::'nonunit'(anything)))   gives true but patmatch(2, (x::anything)^n::'nonunit'(anything)); gives false?

interface(version);

`Standard Worksheet Interface, Maple 2024.2, Windows 10, October 29 2024 Build ID 1872373`

restart;

patmatch(1, (x::anything)^(n::'nonunit'(anything)))

true

patmatch(2, (x::anything)^n::'nonunit'(anything));

false

Download patmatch_question_nov_16_2024.mw

I was expecting result similar to using this other software

I do not understand Maple's result. How could I change the patmatch so it does not match 1 to the pattern x::anything^n::anything where n is not 1 ?

Update

To give context, I was trying to write this example from the other software  in Maple:

But when I wrote this

expr:=1 + x^2 + x^4;

F:=proc(X::anything,x::symbol)
    local la,y,n;
    if patmatch(X, (y::anything)^(n::'nonunit'(anything)) ,'la') then  
       f(eval(n,la));
     else
        X;
     fi;
end proc;

map(X->F(X,x), expr);

Maple gave 

So I modified the code now to check for explicit 1,  to avoid this bad match, like this

expr:=1 + x^2 + x^4;

F:=proc(X::anything,x::symbol)
    local la,y,n;
    if patmatch(X, (y::anything)^(n::'nonunit'(anything)) ,'la') then  
        if eval(y,la)=1 then #bug in maple?
           X;
        else
           f(eval(n,la));
        fi;
     else
        X;
     fi;
end proc;

map(X->F(X,x), expr);

And now it gives expected result

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