What are the order and degree respectively of the differential equation {2 - (dy/dx)²}^{0.6} = d²y/dx² ?

To find order and degree, the equation must be made polynomial in the highest derivative. Raise both sides to power 5: {2 - (dy/dx)²}³ = (d²y/dx²)⁵. The highest derivative is d²y/dx², so the order is 2. The degree is the power of the highest order derivative when the equation is polynomial in derivatives, which is 5. Therefore order = 2, degree = 5.