Find the general solution of each of the following differential equations:
`x^(2)(y+1)dx+y^(2)(x-1)dy=0`

Answer

`(x^(2))/(2)+(y^(2))/(2) +x -y +log|x-1| +log|y+1|=C`

Explanation

`int (x^(2))/((x-1))dx+int (y^(2))/((y+1))dy=C rArr int (x+1+(1)/(x-1))dx+int (y-1+(1)/(y+1))dy =C.`