Solve the differential equation in Exercises 9–22.
19. y²(dy/dx) = 3x²y³ - 6x²

Each of Exercises 19–24 gives a formula for a function y=f(x) and shows the graphs of f and f^(-1). Find a formula for f^(-1) in each case.

f(x)=x²+1, x≥0

Which of the functions graphed in Exercises 1–6 are one-to-one, and which are not?

"In Exercises 59–86, find the derivative of y with respect to the given independent variable.

63. y = x^π"

In Exercises 21–48, find the derivative of y with respect to the appropriate variable.

43. y=√(arcsin x)

Evaluate the integrals in Exercises 31–78.

73. ∫dx/√(-2x-x²)

Solve the differential equation in Exercises 9–22.

9. 2√(xy) (dy/dx) = 1, x, y > 0