Differential EquationHard
Question
The value of 
y(x) obtained from the differential equation 
= y - y2, where y (0) = 2 is
y(x) obtained from the differential equation = y - y2, where y (0) = 2 is Options
A.zero
B.1
C.∞
D.none of these
Solution
= y - y2 ⇒ 
= ∫dx
dy = x + c ⇒ ln 
= x + c 
= kex ⇒ y = kex - kyex ⇒ y = 
x = 0, y = 2 ; 2 =
⇒ 2 + 2k = k ⇒ k = -2, y =
⇒ y = 
(y(x)) = 
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