Target Exam

CUET

Subject

Section B1

Chapter

Differential Equations

Question:

Find the order and degree of the differential equation $y''' + y^2 + e^{y'} = 0$.

Options:

Order: 3, Degree: 1

Order: 3, Degree: 1

Order: 3, Degree: Not Defined

Order: 1, Degree: 3

Correct Answer:

Order: 3, Degree: Not Defined

Explanation:

The correct answer is Option (3) → Order: 3, Degree: Not Defined ##

The order of the differential equation $y''' + y^2 + e^{y'} = 0$ is 3, as the highest order of derivative is $y'''$. The degree of the differential equation is not defined, as the differential equation is not a polynomial.