Differential Equations  MCQs

MCQs of Differential Equations

Showing 61 to 70 out of 145 Questions
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61.
The solution of a differential equation 3ex1-exdx+sec2ytan ydy=0 is _____
(a) tan y=c(1-ex)3
(b) tan y=c(1-ex)
(c) (1-ex)3 tan y=c
(d) (1-ex) tan y=c
Answer:

Option (a)

62.
if m and n respectively the order and degree of the differential equation y2d2ydx22+3xdydx+x2y2=sin x then _____
(a) m < n
(b) m > n
(c) m = n
(d) 2m = n
Answer:

Option (c)

63.
The order and degree of the differential equation dydx-4dydx=7x are _____ and _____ respectively.
(a) 1, 1
(b) 1, 2
(c) 2, 1
(d) 1, 12
Answer:

Option (b)

64.
Which of the following differential equations has the same order and degree ?
(a) d4xdy4+8dydx8+5y=ex
(b) 5d3ydx34+81+dydx2+5y=x8
(c) 1+dydx332=4d3ydx3
(d) y=x2dydx+1+dydx2
Answer:

Option (c)

65.
The differential equation of the system of parabola whose axis is parallel to Y-axis is _____
(a) d3ydx3+d2ydx2=0
(b) d3ydx3=0
(c) d3ydx3=2dydx
(d) None of these
Answer:

Option (b)

66.
The solution of differential equation x dy - y dx = 0 represents _____
(a) Rectangular hyperbola
(b) Lines passing through the origin
(c) Parabola whose vortex is the origin
(d) A circle with origin as centre
Answer:

Option (b)

67.
The differential equation of the system of lines in XY-plane is _____
(a) dydx=x
(b) d2ydx2=0
(c) d2ydx2+x=0
(d) d2ydx2-xdydx=0
Answer:

Option (b)

68.
The solution of the differential equation y' - y = 1, y = _____
(a) y = e-x
(b) y = -e-x
(c) y = 1
(d) y = 2ex - 1
Answer:

Option (d)

69.
The differential equation of the circles whose centres are origin is _____
(a) x + y1 = 0
(b) x + yy1 = 0
(c) x - yy1 = 0
(d) None of these
Answer:

Option (b)

70.
The integrating factor of differential equation is 1-x2dydx-xy=1 _____
(a) - x
(b) x1-x2
(c) 1-x2
(d) 12log1-x2
Answer:

Option (c)

Showing 61 to 70 out of 145 Questions
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