`x^(2)-y^(2)+x^(3)-xy^(2)`

Veriffy : (i) x^(3)+y^(3)=(x+y)(x^(2)-xy+y^(2))x^(3)-y^(3)=(x-y)(x^(2)+xy+y^(2))

Show that the differential equation representing one parameter family of curves (x^(2)-y^(2))=c(x^(2)+y^(2))^(2)is(x^(3)-3xy^(2))dx=(y^(3)-3x^(2)y)dy

The expressions a-b+2x^(2)+y^(2)-xy,x^(3)-2y^(3)-3x^(2)y^(2)z etc.are trinomials.

If x^(3)+y^(3)+xy^(2)+x^(2)y-x^(2)-y^(2)=0 then int ydx=

Simplify : 3x^(2)+4xy^(2)+y^(3)-2y^(2)x+3x(x^(2)+y^(2))

Simplify: 2x^(2)+3xy -3y^(2)+x^(2)-xy+y^(2)

Simplify the following : 2x^(2)+3y^(2)-5xy+5x^(2)-y^(2)+6xy-3x^(2)

Solve : (dy)/(dx)=(y^(3)+2x^(2)y)/(x^(3)+2xy^(2)) .

Add 2x^(2)+5xy-2y^(2), 3x^(2)-2xy+5y^(2) and 2x^(2)+8xy+3y^(2)