Mathematics - II (3110015) MCQs

MCQs of Ordinary Differential Equations of Higher Orders

Showing 11 to 20 out of 44 Questions
11.
The number of arbitrary constants in the general solution of differential equation of second order is ……
(a) 1
(b) 0
(c) 2
(d) 4
Answer:

Option (c)

12.
The number of arbitrary constants in the particular solution of differential equation of second order is ......
(a) 4
(b) 2
(c) 1
(d) 0
Answer:

Option (d)

13.
A P.I. of a third order linear differential equation is having …… arbitrary constants.
(a) 2
(b) 3
(c) 1
(d) 0
Answer:

Option (d)

14.
1D-mx= ....... , where D=ddx
(a) e-mx xemxdx
(b) emx xe-mxdx
(c) e-mx xdx
(d) None
Answer:

Option (b)

15.
The G.S. of the differential equation (D2-2)y=1 is .....
(a) c1e2x+c2e-2x
(b) (c1+c2x)e2x
(c) c1e2x+c2e-2x-12
(d) None of these
Answer:

Option (c)

16.
The non-zero P.I. can be found out for …… differential equation.
(a) Homogeneous
(b) Non-Homogeneous
(c) 2nd order Homogeneous
(d) None of these
Answer:

Option (b)

17.
The P.I. of d2ydx2+a2y=eiax is ......
(a) eiax2ai
(b) x2aeax
(c) x2aieiax
(d) None
Answer:

Option (c)

18.
The P.I. of D2+1y=e2x+3 is .....
(a) e2x+35
(b) e2x+310
(c) e2x+37
(d) None
Answer:

Option (a)

19.
The P.I. of D2-4y=cos3x is .....
(a) -113cos3x
(b) -19cos3x
(c) -114cos3x
(d) None
Answer:

Option (a)

20.
1Dcosx= ......
(a) sinx
(b) 0
(c) cosx
(d) None
Answer:

Option (a)

Showing 11 to 20 out of 44 Questions