Differential Equations  MCQs

MCQs of Differential Equations

Showing 81 to 90 out of 145 Questions
6 7 8 9 10 11
81.
fx, y=x5+y5x2+y2 is a homogeneous function of degree.
(a) 2
(b) 3
(c) 4
(d) 5
Answer:

Option (b)

82.
An integrating factor of differential equation dxdy=13x+2y+5 is _____.
(a) e-2y
(b) e-3x
(c) e-3y
(d) e-2x
Answer:

Option (d)

83.
The differential equation of the family of circles x2 + y2 = a2 is _____.
(a) yd2ydx2+dydx2+ 1=0
(b) xydydx+ y=0
(c) xdydx+ y=0
(d) x+ ydydx=0
Answer:

Option (d)

84.
Which of the following function is a solution of the differential equation dydx2-xdydx=6y-18 ?
(a) y = 6x
(b) y = 2x2 + 3
(c) y = x2
(d) y = 3x2 + 2
Answer:

Option (b)

85.
The solution of the differential equation dxdy+x3y=0 with y(1) = 1 is given by _____ .
(a) x3y = 1
(b) xy3 = 1
(c) x3 + y3 = 2
(d) xy = 1
Answer:

Option (a)

86.
The number of arbitrary constant in the general solution of differential equation of third order is _____ .
(a) 1
(b) 2
(c) 3
(d) 0
Answer:

Option (c)

87.
The number of arbitrary constants in the particular solution of differential equation of third order is _____ .
(a) 0
(b) 1
(c) 2
(d) 3
Answer:

Option (a)

88.
The differential equation dydx=e2x+3y has solution _____ .
(a) 2e2x-3e-3y=c
(b) 3e2x-2e-3y=c
(c) 2e2x+3e-3y=c
(d) 3e2x+2e-3y=c
Answer:

Option (d)

89.
The solution of the differential equation 2xdxdy-y=0 represents.
(a) parabola
(b) ellipse
(c) rectangular parabola
(d) hyperbola
Answer:

Option (d)

90.
The differential equation of family of curves y = A•eBx is _____ ,where A, B are arbitrary constants.
(a) y • y'' = y'
(b) y • y'' = (y')2
(c) x • y'' = (y')2
(d) x • y'' = y
Answer:

Option (b)

Showing 81 to 90 out of 145 Questions
6 7 8 9 10 11