Answer:
y =
ex (a cos x + b sin x) ?.. (1)
Differential
it w.r.t. x, we get
y?
= ex (?a sin x + b cos x) + ex
(a
cos x + b sin x)
y?
= ex (?a sin x + b cos x) + y ?.. (2)
[Using
(1)]
Again
differentiate w.r.t. x
y?
= ex ? (?a cos x ? b sin x) + ex
(?a
sin x + b cos x) + y?
which
is the required differential equation.
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