Differential EquationHard
Question
Solution of differential equation f(x) 
= f2 (x) + f(x) y + f′(x) y is
= f2 (x) + f(x) y + f′(x) y isOptions
A.y = f(x) + cex
B.y = - f(x) + cex
C.y = - f(x) + cex f(x)
D.y = cf(x) + ex
Solution
Given DE can be written as 
y = f(x)
Which is L.D.E.
I.F. = e-x-ln f(x) =
General solution y
dx + c = - e-x + c
⇒ y = - f(x) + cex f(x)
y = f(x)Which is L.D.E.
I.F. = e-x-ln f(x) =
General solution y
dx + c = - e-x + c⇒ y = - f(x) + cex f(x)
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