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Question: why my pdetest not satisfy?

Question:why my pdetest not satisfy?

salim-barzani 210 Maple 2024
pde differential-equations pdetest
January 10 2025
0

every thing is correct but i dont know why my PDE is not be zero, i did by another way is satidy but i change whole equation by sabstitutiin then i did ode test is satisfy by putting case in equation and solution with condition but when i want to use pdetest  test in pde is not satisfy ?

> 

restart
> 

_local(gamma)
> 

with(PDEtools)
> 

NULL
> 

undeclare(prime)

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

 (1)
> 

declare(Omega(x, t)); declare(U(xi)); declare(V(xi)); declare(Theta(x, t))

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

  

U(xi)*`will now be displayed as`*U

  

V(xi)*`will now be displayed as`*V

  

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

 (2)
> 

xi := -t*tau+x

-t*tau+x

 (3)
> 

NULL
> 

NULL
> 

lambda := -tau/c; epsilon := -tau/c; delta := (2*c^2-gamma*tau)/(gamma-2*tau)

-tau/c

  

-tau/c

  

(2*c^2-gamma*tau)/(gamma-2*tau)

 (4)
> 

NULL
> 

case1 := [c = RootOf(-gamma^3*tau+2*_Z^2+2*gamma*tau-4*tau^2)/gamma, A[0] = 0, A[1] = RootOf(_Z^2*gamma+2*tau), B[1] = 0]

[c = RootOf(-gamma^3*tau+2*_Z^2+2*gamma*tau-4*tau^2)/gamma, A[0] = 0, A[1] = RootOf(_Z^2*gamma+2*tau), B[1] = 0]

 (5)
> 

K := Omega(x, t) = RootOf(_Z^2*gamma+2*tau)*tanh(xi)*exp(I*gamma*(delta*t+x))

Omega(x, t) = -RootOf(_Z^2*gamma+2*tau)*tanh(t*tau-x)*exp(I*gamma*((2*c^2-gamma*tau)*t/(gamma-2*tau)+x))

 (6)
> 

NULL
> 

pde1 := I*(diff(Omega(x, t), `$`(t, 2))-c^2*(diff(Omega(x, t), `$`(x, 2))))+diff(U(-t*tau+x)^2*Omega(x, t), t)-lambda*c*(diff(U(-t*tau+x)^2*Omega(x, t), x))+(1/2)*(diff(Omega(x, t), `$`(x, 2), t))-(1/2)*epsilon*c*(diff(Omega(x, t), `$`(x, 3))) = 0

I*(diff(diff(Omega(x, t), t), t)-c^2*(diff(diff(Omega(x, t), x), x)))-2*U(-t*tau+x)*Omega(x, t)*(D(U))(-t*tau+x)*tau+U(-t*tau+x)^2*(diff(Omega(x, t), t))+tau*(2*U(-t*tau+x)*Omega(x, t)*(D(U))(-t*tau+x)+U(-t*tau+x)^2*(diff(Omega(x, t), x)))+(1/2)*(diff(diff(diff(Omega(x, t), t), x), x))+(1/2)*tau*(diff(diff(diff(Omega(x, t), x), x), x)) = 0

 (7)
> 

NULL
> 

subs(case1, pde1)

I*(diff(diff(Omega(x, t), t), t)-RootOf(-gamma^3*tau+2*_Z^2+2*gamma*tau-4*tau^2)^2*(diff(diff(Omega(x, t), x), x))/gamma^2)-2*U(-t*tau+x)*Omega(x, t)*(D(U))(-t*tau+x)*tau+U(-t*tau+x)^2*(diff(Omega(x, t), t))+tau*(2*U(-t*tau+x)*Omega(x, t)*(D(U))(-t*tau+x)+U(-t*tau+x)^2*(diff(Omega(x, t), x)))+(1/2)*(diff(diff(diff(Omega(x, t), t), x), x))+(1/2)*tau*(diff(diff(diff(Omega(x, t), x), x), x)) = 0

 (8)
> 

T := simplify(I*(diff(diff(Omega(x, t), t), t)-RootOf(-gamma^3*tau+2*_Z^2+2*gamma*tau-4*tau^2)^2*(diff(diff(Omega(x, t), x), x))/gamma^2)-2*U(-t*tau+x)*Omega(x, t)*(D(U))(-t*tau+x)*tau+U(-t*tau+x)^2*(diff(Omega(x, t), t))+tau*(2*U(-t*tau+x)*Omega(x, t)*(D(U))(-t*tau+x)+U(-t*tau+x)^2*(diff(Omega(x, t), x)))+(1/2)*(diff(diff(diff(Omega(x, t), t), x), x))+(1/2)*tau*(diff(diff(diff(Omega(x, t), x), x), x)) = 0)

(1/2)*(2*gamma^2*(tau*(diff(Omega(x, t), x))+diff(Omega(x, t), t))*U(-t*tau+x)^2+(diff(diff(diff(Omega(x, t), t), x), x))*gamma^2+tau*(diff(diff(diff(Omega(x, t), x), x), x))*gamma^2-(4*I)*((1/4)*gamma^3+tau-(1/2)*gamma)*tau*(diff(diff(Omega(x, t), x), x))+(2*I)*(diff(diff(Omega(x, t), t), t))*gamma^2)/gamma^2 = 0

 (9)
> 

pdetest(K, T)

-(1/2)*2^(1/2)*(-tau/gamma)^(1/2)*(-32*gamma^4*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+16*gamma^5*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-8*gamma^6*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+32*gamma^5*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-32*gamma^4*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+16*gamma^4*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-96*gamma^3*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+192*gamma^2*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-128*tau^4*gamma*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+16*gamma^4*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-96*gamma^3*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+192*gamma^2*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-128*tau^4*gamma*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+16*gamma^5*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-8*gamma^6*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(4*I)*U(-t*tau+x)^2*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(4*I)*U(-t*tau+x)^2*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(8*I)*U(-t*tau+x)^2*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(12*I)*gamma^5*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(4*I)*U(-t*tau+x)^2*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(4*I)*U(-t*tau+x)^2*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(8*I)*U(-t*tau+x)^2*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(12*I)*gamma^5*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(4*I)*U(-t*tau+x)^2*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(4*I)*U(-t*tau+x)^2*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(8*I)*U(-t*tau+x)^2*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(12*I)*gamma^5*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(4*I)*U(-t*tau+x)^2*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(4*I)*U(-t*tau+x)^2*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(8*I)*U(-t*tau+x)^2*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(12*I)*gamma^5*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(32*I)*gamma^3*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(32*I)*gamma^3*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-64*gamma^4*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+64*gamma^3*tau^2*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+I*tau*gamma^7*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-64*gamma^4*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+64*gamma^3*tau^2*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+I*tau*gamma^7*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(192*I)*tau^3*gamma*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(8*I)*c^4*gamma^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(2*I)*c^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(4*I)*tau^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(8*I)*c^4*gamma^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(2*I)*c^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-I*tau*gamma^7*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(4*I)*tau^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(16*I)*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(6*I)*tau*gamma^5*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(20*I)*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(40*I)*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(48*I)*gamma^2*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(16*I)*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(6*I)*tau*gamma^5*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(20*I)*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(40*I)*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(48*I)*gamma^2*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(16*I)*gamma^3*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(96*I)*gamma^2*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(192*I)*tau^3*gamma*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(16*I)*gamma^3*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(96*I)*gamma^2*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-I*tau*gamma^7*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(4*I)*tau^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(8*I)*c^4*gamma^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(2*I)*c^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(4*I)*tau^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(8*I)*c^4*gamma^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(2*I)*tau*gamma^5*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(12*I)*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(24*I)*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(16*I)*gamma^2*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(2*I)*tau*gamma^5*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(12*I)*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(24*I)*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(16*I)*gamma^2*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(2*I)*c^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+32*gamma^5*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(128*I)*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(128*I)*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(8*I)*tau*c^2*U(-t*tau+x)^2*gamma^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(8*I)*tau*c^2*U(-t*tau+x)^2*gamma^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(8*I)*tau*c^2*U(-t*tau+x)^2*gamma^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(8*I)*tau*c^2*U(-t*tau+x)^2*gamma^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau)))/(gamma^2*(gamma-2*tau)^2*(exp(2*t*tau)+exp(2*x))^3)

 (10)
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simplify(-(1/2)*2^(1/2)*(-tau/gamma)^(1/2)*((8*I)*tau*c^2*U(-t*tau+x)^2*gamma^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(8*I)*tau*c^2*U(-t*tau+x)^2*gamma^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(8*I)*tau*c^2*U(-t*tau+x)^2*gamma^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(8*I)*tau*c^2*U(-t*tau+x)^2*gamma^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(128*I)*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+32*gamma^5*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+192*gamma^2*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-128*tau^4*gamma*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+16*gamma^5*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-8*gamma^6*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+32*gamma^5*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-32*gamma^4*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+16*gamma^4*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-96*gamma^3*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+192*gamma^2*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-128*tau^4*gamma*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+16*gamma^4*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-96*gamma^3*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(128*I)*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-32*gamma^4*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+16*gamma^5*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-8*gamma^6*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(32*I)*gamma^3*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(4*I)*U(-t*tau+x)^2*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(4*I)*U(-t*tau+x)^2*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(8*I)*U(-t*tau+x)^2*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(12*I)*gamma^5*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(4*I)*U(-t*tau+x)^2*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(8*I)*U(-t*tau+x)^2*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(12*I)*gamma^5*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(4*I)*U(-t*tau+x)^2*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(32*I)*gamma^3*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(4*I)*U(-t*tau+x)^2*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(8*I)*U(-t*tau+x)^2*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(12*I)*gamma^5*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(4*I)*U(-t*tau+x)^2*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(4*I)*U(-t*tau+x)^2*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(4*I)*U(-t*tau+x)^2*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(8*I)*U(-t*tau+x)^2*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(12*I)*gamma^5*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(8*I)*c^4*gamma^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(2*I)*c^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(4*I)*tau^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-I*tau*gamma^7*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(16*I)*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(20*I)*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(48*I)*gamma^2*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(6*I)*tau*gamma^5*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(40*I)*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-(16*I)*gamma^3*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(192*I)*tau^3*gamma*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))-(96*I)*gamma^2*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-I*tau*gamma^7*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(8*I)*c^4*gamma^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(2*I)*c^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(4*I)*tau^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(12*I)*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(16*I)*gamma^2*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))-(2*I)*tau*gamma^5*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-(24*I)*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))-64*gamma^4*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+64*gamma^3*tau^2*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))-64*gamma^4*c^2*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+64*gamma^3*tau^2*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(8*I)*c^4*gamma^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(2*I)*tau*gamma^5*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(24*I)*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(12*I)*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(16*I)*gamma^2*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(2*I)*c^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(48*I)*gamma^2*tau^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(96*I)*gamma^2*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(16*I)*gamma^3*tau*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(4*I)*tau^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*x*gamma-12*x*tau)/(gamma-2*tau))+(2*I)*c^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(4*I)*tau^2*gamma^6*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(6*I)*tau*gamma^5*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(40*I)*gamma^3*tau^3*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+(16*I)*gamma^4*c^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(20*I)*gamma^4*tau^2*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+I*tau*gamma^7*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+4*gamma*t*tau-8*t*tau^2+2*x*gamma-4*x*tau)/(gamma-2*tau))+I*tau*gamma^7*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+6*gamma*t*tau-12*t*tau^2)/(gamma-2*tau))+(192*I)*tau^3*gamma*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau))+(8*I)*c^4*gamma^4*exp(((2*I)*gamma*c^2*t-I*gamma^2*t*tau+I*x*gamma^2-(2*I)*gamma*x*tau+2*gamma*t*tau-4*t*tau^2+4*x*gamma-8*x*tau)/(gamma-2*tau)))/(gamma^2*(gamma-2*tau)^2*(exp(2*tau*t)+exp(2*x))^3))

-(-tau/gamma)^(1/2)*((I*gamma^3*(-(1/2)*gamma+tau)*(c-tau)*(c+tau)*U(-t*tau+x)^2-((1/8)*I)*tau*gamma^7+(((1/4)*I)*c^2+((1/2)*I)*tau^2-tau)*gamma^6+(4*tau^2+(-((3/2)*I)*c^2-(3/4)*I)*tau+2*c^2)*gamma^5+(-4*tau^3+((5/2)*I)*tau^2+(-8*c^2+2)*tau+I*(c^2+2)*c^2)*gamma^4-4*(((5/4)*I)*tau^2+(-2*c^2+3)*tau+I*c^2-(1/2)*I)*tau*gamma^3+6*(I*tau^2-2*I+4*tau)*tau^2*gamma^2+((24*I)*tau^3-16*tau^4)*gamma-(16*I)*tau^4)*exp((I*(t*tau-x)*gamma^2+2*((I*x-t)*tau-I*c^2*t-2*x)*gamma+4*t*tau^2+8*x*tau)/(-gamma+2*tau))+(-I*gamma^3*(-(1/2)*gamma+tau)*(c-tau)*(c+tau)*U(-t*tau+x)^2+((1/8)*I)*tau*gamma^7+(-((1/4)*I)*c^2-((1/2)*I)*tau^2-tau)*gamma^6+(4*tau^2+(((3/2)*I)*c^2+(3/4)*I)*tau+2*c^2)*gamma^5+(-4*tau^3-((5/2)*I)*tau^2+(-8*c^2+2)*tau-I*(c^2+2)*c^2)*gamma^4+4*(((5/4)*I)*tau^2+tau*(2*c^2-3)+I*c^2-(1/2)*I)*tau*gamma^3-6*(I*tau^2-2*I-4*tau)*tau^2*gamma^2+(-(24*I)*tau^3-16*tau^4)*gamma+(16*I)*tau^4)*exp((I*(t*tau-x)*gamma^2+2*((I*x-2*t)*tau-I*c^2*t-x)*gamma+8*t*tau^2+4*x*tau)/(-gamma+2*tau))+I*gamma^2*(exp((I*(t*tau-x)*gamma^2+2*(-I*c^2*t+I*x*tau-3*x)*gamma+12*x*tau)/(-gamma+2*tau))-exp((I*(t*tau-x)*gamma^2+2*((I*x-3*t)*tau-I*c^2*t)*gamma+12*t*tau^2)/(-gamma+2*tau)))*(gamma*(-(1/2)*gamma+tau)*(c-tau)*(c+tau)*U(-t*tau+x)^2-(1/8)*tau*gamma^5+((1/4)*c^2+(1/2)*tau^2)*gamma^4+tau*(-(3/2)*c^2+1/4)*gamma^3+(c^4-(3/2)*tau^2)*gamma^2+3*tau^3*gamma-2*tau^4))*2^(1/2)/(gamma^2*(exp(2*t*tau)+exp(2*x))^3*(-(1/2)*gamma+tau)^2)

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