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.

Find the degree of the equation (8 left ( frac{d^2 y}{dx^2} right )^2+2( frac{dy}{dx})^2+y=0 ).

A. 4
B. 1
C. 3
D. 2
Answer» E.
2.

Find the order of the differential ( left ( frac{d^2 y}{dx^3} right )^3+5 ) cos x-sin x=0

A. 3
B. 2
C. 1
D. 4
Answer» C. 1
3.

Find the degree of the D.E y -10y=0.

A. 1
B. 2
C. 4
D. 3
Answer» B. 2
4.

The degree of the differential equation is not defined if it is not polynomial.

A. True
B. False
Answer» B. False
5.

Find the order and degree of the differential equation 3y -y -ey=0

A. Order 2, Degree Not defined
B. Order 1, Degree 1
C. Order 1, Degree Not defined
D. Order 3, Degree 3
Answer» B. Order 1, Degree 1
6.

Find the degree of the differential equation (3( frac{d^2 y}{dx^2})-( frac{dy}{dx})^2 )+sin y=0.

A. 1
B. 3
C. 2
D. Not defined
Answer» B. 3
7.

Find the order of the differential equation ( left ( frac{3d^2 y}{dx^2} right )+cos (y )=0 )

A. 4
B. 1
C. 3
D. 2
Answer» E.
8.

Find the degree of the differential equation ( frac{d^3 y}{dx^3}+y^2 )=0

A. 5
B. 4
C. 2
D. 1
Answer» E.
9.

Find the order and degree of the D.E ( left ( frac{d^3 y}{dx^3} right )-3 left ( frac{d^2 y}{dx^2} right )+2 left ( frac{dy}{dx} right )^4+y^3=0 ).

A. Order 2, Degree 4
B. Order 2, Degree 1
C. Order 3, Degree 1
D. Order 1, Degree 3
Answer» D. Order 1, Degree 3
10.

Find the order of the D.E ( frac{2y }{ sqrt{3}}-(2y )^2+y=0 ).

A. 4
B. 2
C. 1
D. 3
Answer» C. 1