MAPLE求解偏微分方程

题目

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)

答案

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.