Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Differential Equations

Question:

The number of arbitrary constants in the general solution of a differential equation with degree 1 and order 3, is

Options:

1

2

3

4

Correct Answer:

3

Explanation:

The correct answer is Option (3) → 3

The order of the differential equation is $3$.

The degree is $1$, but the degree does not affect the number of arbitrary constants.

The general solution of an $n$-th order differential equation contains exactly $n$ arbitrary constants.

The number of arbitrary constants in the solution is $3$.