⑩天掌 Teaching Plan on Advanced Mathematics o 2.解法: P(x,y)x+Q(x,y)=0全微分方程 aP 00 应用曲线积分与路径无关 通解为以(x,y)=」P(x,y)dx+Q(x,y)d =g(x,y)小+∫P(x,,),m(xy)=C; 用直接凑全微分的方法 tianjin polytechnic dmivendityTianjin Polytechnic University Teaching Plan on Advanced Mathematics 2.解法: P(x, y)dx + Q(x, y)dy = 0 应用曲线积分与路径无关. x Q y P   =    通解为   = + y y x x u x y P x y dx Q x y dy 0 0 ( , ) ( , ) ( , ) 0 ( , ) ( , ) , 0 0 0 Q x y dy P x y dx x x y y  = + u(x, y) = C ; 用直接凑全微分的方法. 全微分方程