Question
For problem given below, verify that the given function (implicit or explicit) is a solution of the corresponding differential equation:
Solution
The given differential equation is
y = ex (a cos x + b sin x)
⇒ e–x y = a cos x + b sin x ...(1)
Differentiating (1) twice w.r.t. .x. we get
and 
or 
[
]
or 
or 
Hence the result.
