Find dy/dx in terms of x and y

Question

Find dy/dx in terms of x and y if x^3y−x−3y−10=0.

dy/dx=____

Answer 1

x³y - x - 3y - 10 = 0

 

3x²y + x³dy/dx - 1 - 3dy/dx = 0

 

(x³ - 3)dy/dx = 1 - 3x²y

 

dy/dx = (1 - 3x²y) / (x³ - 3)