Question: `How to calculate u = `((∂)/(∂ t) - (∂)/(∂ x))^(-1)(z)?

`How to calculate u = `((∂)/(∂ t) - (∂)/(∂ x))^(-1)(z)? 

restart;

with(PDEtools):

alias(z=z(x,y,t), u=u(x,y,t))

z, u

(1)

z := 32*delta2^3*(exp((2*a*y*delta2^3 + 2*(x + y + t)^3*(B1 + 2*B2)*delta2^2 + (2*a*delta1^2*y + t)*delta2 + 2*delta1^2*(x + y + t)^3*(B1 + 2*B2))/(delta1^2 + delta2^2)) - exp((-2*a*y*delta2^3 + 4*(B1 + B2/2)*(x + y + t)^3*delta2^2 + (-2*a*delta1^2*y - t)*delta2 + 4*delta1^2*(B1 + B2/2)*(x + y + t)^3)/(delta1^2 + delta2^2)))*a/((delta1^2 + delta2^2)^2*(exp((2*(delta1^2 + delta2^2)*(x + y + t)^3*B2 + 2*delta2*(a*(delta1^2 + delta2^2)*y + t/2))/(delta1^2 + delta2^2)) + exp((2*(delta1^2 + delta2^2)*(x + y + t)^3*B1 - 2*delta2*(a*(delta1^2 + delta2^2)*y + t/2))/(delta1^2 + delta2^2)))^3);

32*delta2^3*(exp((2*a*y*delta2^3+2*(x+y+t)^3*(B1+2*B2)*delta2^2+(2*a*delta1^2*y+t)*delta2+2*delta1^2*(x+y+t)^3*(B1+2*B2))/(delta1^2+delta2^2))-exp((-2*a*y*delta2^3+4*(B1+(1/2)*B2)*(x+y+t)^3*delta2^2+(-2*a*delta1^2*y-t)*delta2+4*delta1^2*(B1+(1/2)*B2)*(x+y+t)^3)/(delta1^2+delta2^2)))*a/((delta1^2+delta2^2)^2*(exp((2*(delta1^2+delta2^2)*(x+y+t)^3*B2+2*delta2*(a*(delta1^2+delta2^2)*y+(1/2)*t))/(delta1^2+delta2^2))+exp((2*(delta1^2+delta2^2)*(x+y+t)^3*B1-2*delta2*(a*(delta1^2+delta2^2)*y+(1/2)*t))/(delta1^2+delta2^2)))^3)

(2)

NULL

NULL

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