Differential Equations  MCQs

MCQs of Differential Equations

Showing 121 to 130 out of 145 Questions
10 11 12 13 14 15
121.
The differential equation of family of curves y =A(x + B)2 is _____ where A, B are arbitrary constants.
(a) 2yy'' = y'2
(b) yy'' = y'2
(c) 2yy'' = y' + y
(d) 2yy'' = y' - y
Answer:

Option (a)

122.
The differential equation of family of lines passing through origin is _____.
(a) xdydx+y=0
(b) dydx=y
(c) dydx=x
(d) xdydx-y=0
Answer:

Option (d)

123.
The differential equation of a family of parabola whose focus is at origin and whose axis is the X - axis is _____.
(a) ydydx2+4xdydx=4y
(b) -ydydx2=2xdydx-y
(c) ydydx2+y=2xydydx
(d) ydydx2+2xydydx+y=0
Answer:

Option (b)

124.
The general solution of the differential equation dydx=xlog x2+xsiny+y cosy is _____.
(a) ysiny = x2logx + c
(b) ysiny = x2 + c
(c) ysiny = x2 +logx + c
(d) ysiny = x logx + c
Answer:

Option (a)

125.
The general solution of the differential equation xdydx2+2xydydx+y=0 is _____.
(a) x + y = a
(b) x-y=a
(c) x+y=a
(d) x2+y2=a2
Answer:

Option (c)

126.
The general solution of the differential equation dydx+1+cos2y1-cos2y=0 is _____.
(a) tany + cotx = c
(b) tany - cotx = c
(c) tanx - coty = c
(d) tanx + coty = c
Answer:

Option (b)

127.
The order of the differential equation of family of parabola having directrix parallel to X - axis is _____ .
(a) 3
(b) 1
(c) 4
(d) 2
Answer:

Option (a)

128.
The equation of the curve satisfying y'' = 4y' and passing through (1, 0) is _____.
(a) y = ae4x
(b) y = e4
(c) y = a(e4x - e4)
(d) y = e4x - e4
Answer:

Option (c)

129.
The differential equation of family of curves y2 = 4ax (where a is arbitrary constant) is _____.
(a) 2xy1 = y2
(b) 2y = xy2y1
(c) 2yy1 = xy2
(d) 2xy1 = y
Answer:

Option (d)

130.
The integrating factor of differential equation (1 + y + x2y)dx + (x + x3)dy = 0 is _____.
(a) logx
(b) x
(c) ex
(d) 1x
Answer:

Option (b)

Showing 121 to 130 out of 145 Questions
10 11 12 13 14 15