Published by:
CGP EDU Academic Team
Published on: August 11, 2026
The solution of the differential equation
(1 + y 2 ) + (x – 
) 
= 0 is -
A
(x – 2) = k ![]()
B
2x 
= ![]()
+ k
= C
x 
= tan –1 y + k
= tan –1 y + k
D
x 
y = 
+ k
y = + k
Text Solution
Verified by ExpertsThe correct answer is:
B
Given (1 + y 2 ) + (x – )
= 0
This can be rewritten as
(1 + y 2 ) + x =
⇒ +
= 
It is a linear equation, comparing with the standard equation + Px = Q ⇒ P =
, Q = 
= 
= 
= 
Thus solution is
x( 
)= 
dy
Put 
= t ⇒ 
dy = dt
∴ x( 
) = 
dt = 
+ c = 
+ c
⇒ x 
= 
+ c
⇒ 2x 
= 
+ k
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