⑩天掌 Teaching Plan on Advanced Mathematics o C不定积分法:∴⌒=x+x+y, x2+x3+y)x=2++x+C(y), 3 =x+C(y),又。=1+x, x+C'(y)=1+x,C(y)=1,C(y)=y, 原方程的通解为 ytxyt+ 34 tianjin polytechnic dmivendityTianjin Polytechnic University Teaching Plan on Advanced Mathematics C 不定积分法: , 2 3 x x y x u = + +      (x + x + y)dx 2 3 ( ), 3 4 3 4 xy C y x x = + + + x C ( y), y u = +     1 x, y u = +   又  x + C( y) = 1+ x, C( y) = 1, C( y) = y, 原方程的通解为 . 3 4 3 4 C x x y + xy + + =