- What is the only solution of the
initial equation problem y’= t(1 + y),
y(0)= 0?
(a) y= -1 + (b) y= 1 + (c) y= -
t (d) y= t
- What is the differential equation of
the curve y=
(a)
(^)
(b)
(^)
.
/
(c) (1- )
(^)
.^
/
= 0
(d) None of the above
- What is the degree of the
differential equation [.^ /
]
⁄(^)
?^
(a) 4 (b) 3 (c) 2 (d) 1
46. What is the equation of the curve
passing through the origin and
satisfying the differential equation dy=
(y tanx + sec x) dx?
(a) y= x cos x (b) y cos x = x (c) xy= cos
x (d) y sin x = x
47. For what value of k, does the
differential equation^ = ky represent
the law of natural decay?
(a) -5 (b) 0 (c) 0.01 (d) ( )^
50. What is the degree of the
differential equation k^
(^)
[.^ /
]
⁄
?
(a) 1 (b) 2 (c) 3 (d) 4
(where k is a constant)