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) = _数学解答

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

人气：193 ℃　时间：2020-05-28 06:32:12

解答

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