Target Exam

CUET

Subject

Section B1

Chapter

Differential Equations

Question:

Find the order and degree, if defined, of the following differential equation: $\frac{dy}{dx} - \cos x = 0$

Options:

Order 1, Degree 1

Order 1, Degree not defined

Order 2, Degree 1

Order 1, Degree 2

Correct Answer:

Order 1, Degree 1

Explanation:

The correct answer is Option (1) → Order 1, Degree 1 ##

The highest order derivative present in the differential equation is $\frac{dy}{dx}$, so its order is one. It is a polynomial equation in $y'$ and the highest power raised to $\frac{dy}{dx}$ is one, so its degree is one.