Mathematics - II (3110015) MCQs

MCQs of Ordinary Differential Equations of Higher Orders

Showing 31 to 40 out of 44 Questions
31.
Which of the following is correct choice of yp for y''+10y'+25y=e-5x?
(a) Be-5x
(b) Ae5x
(c) xe-5x
(d) None
Answer:

Option (a)

32.
Find the correct assumption for y''+4y=2sin3x.
(a) A sin3x+B cos3x
(b) A cos3x+B sin3x
(c) C cos3x+D sin3x
(d) All of the above
Answer:

Option (d)

33.
Which of the following is correct choice of yp for y''+9y=2x2?
(a) Ax2
(b) Ax2+bx
(c) Ax2+bx+c
(d) None
Answer:

Option (c)

34.
Find the correct assumption for y''+4y'=8x2.
(a) Ax3+Bx2+Cx
(b) Ax2+Bx+C
(c) Ax2
(d) Ax2+Bx
Answer:

Option (a)

35.
What is the correct form for yp for y''-2y'+y=ex+x, when we use undetermined co-efficient method?
(a) Aex+Bx+C
(b) Axex+Bx+C
(c) x(Aex+Bx+C)
(d) None
Answer:

Option (b)

36.
Find correct for find finding yp for y''+2y'+y=e-xcosx, while using Method of Undetermined coefficient.
(a) Ae-xcosx
(b) Ae-x(cosx+sinx)
(c) ex(A cosx+B sinx)
(d) e-x(A cosx+B sinx)
Answer:

Option (d)

37.
Find correct for find finding yp for (D2+1)y=xsinx, while using Method of Undetermined coefficient.
(a) (Ax+B)(sinx+cosx)
(b) (Ax+B)·sinx
(c) Ax·sinx
(d) None
Answer:

Option (a)

38.
For which of the following Differential equation, Method of Undetermined coefficient is applicable?
(a) D2+1y=xsinx
(b) y''-5y'+6y=e2x
(c) y'''+2y''+y'=x
(d) All of above
Answer:

Option (d)

39.
What is correct form for yp for (D2-4D+4)y=e2x1+x2, when we use undetermined co-efficient method?
(a) Ae2x1+x2
(b) e2x(Ax2+Bx+C)
(c) None option is correct
(d) Method not applicable
Answer:

Option (d)

40.
Which method can be used to find complete solution of y''+a2y=tanax?
(a) Shortcut Method
(b) Method of Undetermined coefficient
(c) Variation of Parameter
(d) All of the above
Answer:

Option (c)

Showing 31 to 40 out of 44 Questions