Find dy/dx by Implicit Differentiation

1. xy + x + y = x²+y²
2. xy+x=2
3. 2xy-y²=1
4. x ln y+ y = x⁴y³
5. x³+3x²y+y³=8
6. x³ + y³ =5
7. x^4/3+ y^4/3=1
8. xy²=4
9. y³e^x + x =y⁵x
10. x^1/3-y^1/3=1