MAPLE求解偏微分方程

我需要用MAPLE解出F(x,y); M(x, y) = F(x, y)*(x+y^2); N(x, y) = F(x, y)*xy diff(M(x, y), y) = diff(N(x, y), x) ,请那个大侠给我段MAPLE的程序

M:=F(x,y)*(x+y^2)
N:=F(x,y)*x*y
eq:=diff(M,y)=diff(N,x)
pdsolve(eq)

答案是:F(x,y)=x*G(2x³+3x²y²),G是任意函数
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