Differential EquationHard
Question
A solution of the differential equation 
is
isOptions
A.y = 2
B.y = 2x
C.y = 2x - 4
D.y = 2x2 - 4
Solution
Given differential equation is
......(i)
(a) y = 2
⇒
On putting in Eq. (i)
02 - x(0) + y = 0
⇒ y = 0 which is not satisfied.
(b) y = 2x ⇒
On putting in Eq. (i)
(2)2 - x.2 + y = 0
⇒ 4 - 2x + y = 0
⇒ y = 2x - 4 which is not satisfied
(d) y = 2x2 - 4
On putting in Eq. (i) (4x)2 - x.4 + y = 0
⇒ y = 0 which is not satisfied
Therefore, (c) is the answer.
......(i)(a) y = 2
⇒
On putting in Eq. (i)
02 - x(0) + y = 0
⇒ y = 0 which is not satisfied.
(b) y = 2x ⇒
On putting in Eq. (i)
(2)2 - x.2 + y = 0
⇒ 4 - 2x + y = 0
⇒ y = 2x - 4 which is not satisfied
(d) y = 2x2 - 4
On putting in Eq. (i) (4x)2 - x.4 + y = 0
⇒ y = 0 which is not satisfied
Therefore, (c) is the answer.
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