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

Solution of the differential equation x^(2)y dy+(x^(3)+x^(2)y-2xy^(2)-y^(3))dx=0 is

Factorize: x^(3)-2x^(2)y+3xy^(2)-6y^(3)

x^(3)+3x^(2)y+xy^(2)-5y^(3)=0 then ((d^(2)y)/(dx^(2)))_(1,1) is

Which of the following options is not the asymptote of the curve 3x^(3)+2x^(2)y-7xy^(2)+2y^(3)-14xy+7y^(2)+4x+5y=0

What is the HCF of 4x^(3)+3x^(2)y-9xy^(2)+2y^(3)andx^(2)+xy-2y^(2) ?

Add : x^(3) - x^(2)y + 5xy^(2) + y^(3) , -x^(3) - 9xy^(2) + y^(3), 3x^(2)y + 9xy^(2)

Write down the binominal expansion of , (x^(3)-3x^(2)y + 3xy^(2)-y^(3))^(3)

If 3x^(3) -2x^(2)y -13xy^(2)+10y^(3) is divided by x-2y , then what will be the remainder?

Prove that f(x,y) =x^(3) - 2x^(2)y + 3xy^(2) + y^(3) is homogenous, what is the degree? Verify Euler's Theorem for f.

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