Published by:
CGP EDU Academic Team
Published on: August 11, 2026
Differential equation whose general solution is
for all values of
and
is
Text Solution
Verified by ExpertsThe correct answer is:
D
.....(i)
There are two arbitrary constants. To eliminate these constants, we need to differentiate (i) twice.
Differentiating (i) with respect to x ,
.....(ii)
Again differentiating with respect to x ,
......(iii)
From (iii),
and from (ii),
;
∴ ∴ 
From (i),
⇒ ⇒

∴ ∴ 
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