Mathematics - II (3110015) MCQs

MCQs of Ordinary Differential Equations of Higher Orders

Showing 21 to 30 out of 44 Questions
21.
1D2-3cosx= ......
(a) -14sint
(b) -12cost
(c) -14cost
(d) -12sint
Answer:

Option (c)

22.
1D4-6D2+9sin2x= ......
(a) sin2x
(b) -sin2x
(c) sin2x48
(d) sin2x49
Answer:

Option (d)

23.
1D2-2D+1exsinx= ......
(a) exsinx
(b) -exsinx
(c) excosx
(d) -excosx
Answer:

Option (b)

24.
1D-1xex= ......
(a) xex
(b) x2ex2
(c) xe2x
(d) None
Answer:

Option (b)

25.
The C.F. of the differential equation y'''+2y''+y'=x is ......
(a) A+(Bx+C)ex
(b) A+(Bx+C)e-x
(c) A+(Bx+C)e2x
(d) None
Answer:

Option (b)

26.
The P.I. of y''+y'-12y=e6x is .....
(a) e6x20
(b) e6x30
(c) e6x40
(d) None
Answer:

Option (b)

27.
The P.I. of y''+y=sin4x is ....
(a) -sin4x
(b) -sin4x15
(c) -sin4x10
(d) None
Answer:

Option (b)

28.
The P.I. of y''-5y'+6y=e2x is .....
(a) -xe2x
(b) xe2x
(c) -x2e2x2
(d) None
Answer:

Option (a)

29.
The P.I. of y''+16y=sin4x is .....
(a) -xsin4x8
(b) xsin4x8
(c) -xcos4x8
(d) xcos4x8
Answer:

Option (c)

30.
What is correct form for yp for y''+4y=4e2x, when we use undetermined co-efficient method?
(a) Aex
(b) Ae2x
(c) e2x
(d) 4e2x
Answer:

Option (b)

Showing 21 to 30 out of 44 Questions