Question

What is the degree of the differential equation \[\frac{dy}{dx} - \cos x = 0\]?

Options

• Degree = 2

• Degree = 3

• Degree = 1

• Degree is not defined

Answer 1

The degree of a differential equation is the highest exponent of the highest derivative, provided the equation is a polynomial in its derivatives. The highest derivative \[\frac{dy}{dx}\] has an exponent of 1, making the degree equal to 1.