Mathematics - II (3110015) MCQs

MCQs of Differential Equations of First Order

Showing 1 to 10 out of 34 Questions
1.
The degree of the differential equation 1+dydx323=xd2ydx2 is
(a) 3
(b) 2
(c) 6
(d) 1
Answer:

Option (a)

2.
y'+y=5y' has degree
(a) 1
(b) 2
(c) not defined
(d) 4
Answer:

Option (b)

3.
The order and degree of d3ydx32+d2ydx23+y=0 are ........ respectively.
(a) 3,2
(b) 2,3
(c) 3, not defined
(d) none
Answer:

Option (a)

4.
The order and degree of the differential equation dydx+x2d2ydx2+xy=sinx are ......... respectively.
(a) 1, 1
(b) 2, 1
(c) 3, 2
(d) 2, not defined
Answer:

Option (b)

5.
The order of equation exdx + eydy=0 is......
(a) zero
(b) one
(c) two
(d) three
Answer:

Option (b)

6.
The order and degree of differential equation dydx4+4=d2ydx26 is ...... and ....... respectively.
(a) 2, 6
(b) 2, 3
(c) 1, 4
(d) 2, 12
Answer:

Option (d)

7.
d2ydx23+dydx4+y=sinx is differential equation with degree ....... and order ........
(a) 2, 3
(b) 3, 2
(c) 4, 2
(d) 3, 4
Answer:

Option (b)

8.
The order of a differential equation whose general solution is y=A sinx+B cosx is .........
(a) 4
(b) 2
(c) 0
(d) 3
Answer:

Option (b)

9.
A solution which can’t be obtained from a general solution is called…....solution.
(a) General
(b) Particular
(c) Singular
(d) None
Answer:

Option (c)

10.
The solution obtained from the general solution by giving a particular value to the arbitrary constant or constants is called a …… solution.
(a) General
(b) Particular
(c) Singular
(d) None
Answer:

Option (b)

Showing 1 to 10 out of 34 Questions