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Question: system of partial differential equations

Question:system of partial differential equations

Maple
pde
May 25 2009
0

Hi!
I am a student and have recently started using Maple.can anyone help me for the following problem please!

 well i have a system of four partial differential equations in Maple with 04 variables P(x,y) , Q(x,y) ,  R(x,y) , S(x,y).

 the 1st eqn :          P + P^3 + Q^2 - R=0

 the 2nd eqn:        Q + Q^2 + P^3 + S=0
 

 the 3rd eqn:         diff(P,y) + S = 0

 the 4th eqn:          diff(Q,y) - R= 0

i want to eliminate P and Q from these equations and get 02 equations in R and S. i can solve the 3rd and 4th eqn for P and Q but this will contain integral so i cannot substitute them in the 1st and 2nd equations.

this will be very kind if someone can help!
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