If u= ⁻¹ ( x^4+y^4 x+y ) , then x u x +y u y is equal to

Step-by-step solution

u= ⁻¹ ( x^4+y^4 x+y ) Let v= u= x^4+y^4 x+y , here degree is homogeneous, so n=4-1=3 By Euler's theorem, we have to prove that, x v x +y v y =3 vx x ( u)+y v y ( u)=3 ux u u x +y u u y =3 ux u x +y u y =3 u u x u x +y u y =3 u