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CGP EDU Academic Team
Published on: August 12, 2026
If e y + xy = e then 
at x = 0 is e – λ , then numerical quantity λ should be equal to……….
Text Solution
Verified by ExpertsThe correct answer is:
0002
Ans. 0002
Sol. e y + xy = e
on putting x = 0, we get e y = e
y = 1 when x = 0
on differentiating the relation (i) we get
+ 1.y + x. 
= 0
on putting x = 0, y = 1 we get
e y 
+ 1= 0 ⇒ 
= 
on differentiating solution (ii) we get
e y 
+ e y 
+ 
+ 
+ x 
= 0
on putting x = 0, y = 1, 
= 
we get
= 
= e –2 ⇒ λ = 2
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