Question

y(1+xy)dx+x(1-xy)dx solve ​

Answer 1

Answer:

sorry I haven't studied differentiation

Answer 2

Answer:

THIS IS YOUR CORRECT ANSWER

Step-by-step explanation:

(1+xy)ydx+x(1−xy)dy=0

ydx+xy  

2

dx+xdy−x  

2

ydy=0

(xdy+ydx)=−xy  

2

dx+x  

2

ydy

d(xy)=xy(xdy−ydx)

xy

d(xy)

​

=(xdy−ydx)

−  

xy

d(xy)

​

=y  

2

(  

y  

2

 

ydx−xdy

​

)=y  

2

d(  

y

x

​

)

∫−  

x  

2

y  

2

 

d(xy)

​

=∫  

x

y

​

d(  

y

x

​

)

−1(−1/xy)=in(x/y)+c

in(x/y)=c  

1

​

+1/xy

y

x

​

=ec  

1

​

+1/xy