Find the particular solution of the differential equation :
given that 
when 
[CBSE 2016]
⇒ 
⇒ 
…(1)
This is a linear differential equation with
⇒ 
∴ 
⇒ 
⇒ 1 + sinx
⇒ Multiplying both the sides of I by I.F. = 1 + sinx, we get
⇒ 
Integrating wrt x, we get
⇒ 
⇒ 
…(2)
Given that y = 1 when x = 0
⇒ 
⇒ C = 1…(3)
Put 3 in 2, we get
⇒ 
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[CBSE 2014]
[CBSE 2016]
[CBSE 2016]
[CBSE 2016]