Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

The function y=3 cos x is a solution of the function ( frac{d^2 y}{dx^2}-3 frac{dy}{dx} )=0.

A. True
B. False
Answer» C.
Discussion
2.

The number of arbitrary constants in a particular solution of a fourth order differential equation is __________________

A. 1
B. 0
C. 4
D. 3
Answer» C. 4
Discussion
3.

How many arbitrary constants will be there in the general solution of a second order differential equation?

A. 3
B. 4
C. 2
D. 1
Answer» D. 1
Discussion
4.

Which of the following differential equations given below has the solution y=log x?

A. ( frac{d^2 y}{dx^2} )-x=0
B. ( frac{d^2 y}{dx^2}+( frac{dy}{dx})^2 )=0
C. ( frac{d^2 y}{dx^2} ) ( frac{dy}{dx} )=0
D. x ( frac{d^2 y}{dx^2} )-log u2061x=0
Answer» C. ( frac{d^2 y}{dx^2} ) ( frac{dy}{dx} )=0
Discussion
5.

Which of the following functions is a solution for the differential equation ( frac{dy}{dx} )-14x=0?

A. y=7x<sup>2</sup>
B. y=7x<sup>3</sup>
C. y=x<sup>7</sup>
D. y=14x
Answer» B. y=7x<sup>3</sup>
Discussion
6.

Which of the following functions is a solution for the differential equation y +6y=0?

A. y=5 cos u20613x
B. y=5 tan u20613x
C. y=cos u20613x
D. y=6 cos u20613x
Answer» B. y=5 tan u20613x
Discussion
7.

Which of the following differential equations has the solution y=3x2?

A. ( frac{d^2 y}{dx^2} )-6x=0
B. ( frac{dy}{dx} )-3x=0
C. x ( frac{d^2 y}{dx^2} ) ( frac{dy}{dx} )=0
D. ( frac{d^2 y}{dx^2}- frac{3dy}{dx} )=0
Answer» D. ( frac{d^2 y}{dx^2}- frac{3dy}{dx} )=0
Discussion
8.

Which of the following functions is a solution for the differential equation xy -y=0?

A. y=4x
B. y=x<sup>2</sup>
C. y=-4x
D. y=2x
Answer» E.
Discussion
9.

The function y=8 sin 2x is a solution of the differential equation ( frac{d^2 y}{dx^2} )+4y=0.

A. True
B. False
Answer» B. False
Discussion
10.

Which of the following functions is the solution of the differential equation ( frac{dy}{dx} )+2y=0?

A. y=-2e<sup>-x</sup>
B. y=2e<sup>x</sup>
C. y=e<sup>-2x</sup>
D. y=e<sup>2x</sup>
Answer» D. y=e<sup>2x</sup>
Discussion