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Question: sort differential equation

Question: sort differential equation

9009134 110 Maple 2019
sort
November 17 2020
1

how I can sort differential equation [q] in terms of u(x,y,z,t) and its derivatives.

In other words, we should find three relations including L11(u) ,L12 (v), and L13(w). 

For instance in L13{w) only w(x,y,z,t) and its derivatives would appear...

For example;

sort.mw


 

> 

q := h*(A11*(diff(u(x, y, z, t), x, x)-(diff(w(x, y, z, t), x))/R+(diff(w(x, y, z, t), x))*(diff(w(x, y, z, t), x, x)))+A12*(diff(v(x, y, z, t), x, y)-(diff(w(x, y, z, t), x))/a+(diff(w(x, y, z, t), y))*(diff(w(x, y, z, t), x, y))))+h^2*(-B11*(diff(w(x, y, z, t), x, x, x))+B12*(-(diff(w(x, y, z, t), x, y, y))-(diff(v(x, y, z, t), x, y))/a))+B66*h^2*(-2*(diff(w(x, y, z, t), x, y, y))-(diff(v(x, y, z, t), x, y))/a)+A66*h*(diff(u(x, y, z, t), y, y)+diff(v(x, y, z, t), x, y)+(diff(w(x, y, z, t), y, y))*(diff(w(x, y, z, t), x))+(diff(w(x, y, z, t), y))*(diff(w(x, y, z, t), x, y))) = rho*(diff(u(x, y, z, t), t, t))-e0^2*a^2*(rho*(diff(u(x, y, z, t), t, t, x, x))+rho*(diff(u(x, y, z, t), t, t, y, y)))

h*(A11*(diff(diff(u(x, y, z, t), x), x)-(diff(w(x, y, z, t), x))/R+(diff(w(x, y, z, t), x))*(diff(diff(w(x, y, z, t), x), x)))+A12*(diff(diff(v(x, y, z, t), x), y)-(diff(w(x, y, z, t), x))/a+(diff(w(x, y, z, t), y))*(diff(diff(w(x, y, z, t), x), y))))+h^2*(-B11*(diff(diff(diff(w(x, y, z, t), x), x), x))+B12*(-(diff(diff(diff(w(x, y, z, t), x), y), y))-(diff(diff(v(x, y, z, t), x), y))/a))+B66*h^2*(-2*(diff(diff(diff(w(x, y, z, t), x), y), y))-(diff(diff(v(x, y, z, t), x), y))/a)+A66*h*(diff(diff(u(x, y, z, t), y), y)+diff(diff(v(x, y, z, t), x), y)+(diff(diff(w(x, y, z, t), y), y))*(diff(w(x, y, z, t), x))+(diff(w(x, y, z, t), y))*(diff(diff(w(x, y, z, t), x), y))) = rho*(diff(diff(u(x, y, z, t), t), t))-e0^2*a^2*(rho*(diff(diff(diff(diff(u(x, y, z, t), t), t), x), x))+rho*(diff(diff(diff(diff(u(x, y, z, t), t), t), y), y)))

 (1)
> 

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