您的位置: 首页  >  作业答案  >  其他  >  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)

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)

分类: 作业答案 • 2022-08-04 23:18:01
问题描述：

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

好难啊！

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.

相关推荐