Mathematics - II (3110015) MCQs

MCQs of Series Solutions of ODEs and Special Functions

Showing 1 to 10 out of 40 Questions
1.
The gamma function of n (n>0) is denoted by Γ(n) and defined as ......
(a) -e-xxn-1dx
(b) 01e-xxn-1dx
(c) 0e-xxn-1dx
(d) none of these
Answer:

Option (c)

2.
Γ(n+1)=n!, where n is ......
(a) a positive integer
(b) a negative integer
(c) real number
(d) none of these
Answer:

Option (a)

3.
Γ(12)=.....
(a) π
(b) π
(c) Γ(π)
(d) 1
Answer:

Option (b)

4.
Γ(14)Γ(34)= .....
(a) π
(b) π
(c) 2π
(d) π2
Answer:

Option (c)

5.
Γ(n)Γ(n+12)= .....
(a) πΓ(2n)22n-1
(b) π22n-1
(c) Γ(2n)22n-1
(d) πΓ(2n)22n
Answer:

Option (a)

6.
01xm(1-x)ndx= ........
(a) B(m,n)
(b) B(m+1,n)
(c) B(m+1,n+1)
(d) B(m,n-1)
Answer:

Option (c)

7.
The relation between Beta function and Gamma function is
(a) B(m,n)=Γ(m)Γ(n)Γ(m+n)
(b) B(m,n)=Γ(n)Γ(m+n)
(c) B(m,n)=Γ(m+n)Γ(m)Γ(n)
(d) B(m,n)=Γ(m)Γ(n)Γ(m-n)
Answer:

Option (a)

8.
B(12,12)= ......
(a) 0
(b) π
(c) π
(d) 1π
Answer:

Option (b)

9.
For a non-negative real constant n, an equation of the form (1-x2)y''-2xy'+n(n+1)y=0 is called ....
(a) Legendre's equation
(b) Legendre's polynomial
(c) Bessel's equation
(d) None of these
Answer:

Option (a)

10.
The value of Legendre's polynomial P2(x) is .....
(a) 0
(b) 12(3x2-1)
(c) 1
(d) 12(5x3-3x)
Answer:

Option (b)

Showing 1 to 10 out of 40 Questions