1.x²+y²=cx+yy'=0
2.(x+y)(xx-xy+yy)计算?
x²+y²=cx+yy'=0
yy'+y+x=0
yy'=-y-x
y'=-1-x/y
(y1)'=-1,公式在线下订单源码y1=-x
(y2)'=-x/y,å³ d(y2)/dx=-x/(y2)
æ¤å¼çé解æå ¬å¼,æ¯ x²+(y2)²=r²
y2=±â(r²-x²)
æä»¥å¯¹äº y'=-1-x/yçé解就æ¯
y=(y1)+(y2)=-x+â(r²-x²)
æy=-x-â(r²-x²)
(x+y)(xx-xy+yy)计算?
原式=(x+y)(xx-xy)+yy(x+y)
=x(x+y)(x-y)+xyy+yyy
=x(xx-yy)+xyy+yyy
=xxx-xyy+xyy+yyy
=xxx+yyy