System of PDE's - MaplePrimes

Question:System of PDE's

Posted: kjell 40 Product: Maple 2020

March 06 2021

PDE:

(a+b)*(u_xx+v_xy)+c*laplacian(u)=0

(a+b)*(v_xy+v_yy)+c*laplacian(v)=0

a,b,c=const. Initial:u=1/2*sin(2*theta),v=cos(theta)

Text book says: Solve by complex variable method

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