If y = 2 π x - 1 cosec x is the solution of the differential equation, d y d x + p x y = - 2 π cosec x , 0 x π 2 , then the function p x is equal to :

Question

If y = 2 π x - 1 cosec x is the solution of the differential equation, d y d x + p x y = - 2 π cosec x , 0 x π 2 , then the function p x is equal to :, cot x, cosec x, sec x, tan x

MARKS App · Accepted Answer

y = 2 π x - 1 cosec x ⇒ d y d x = 2 π cosec x - 2 x π - 1 cosec x cot x cot ⁡ x ⇒ d y d x + 2 x π - 1 cosec x cot x = 2 π cosec x ⇒ d y d x + y cot x = 2 π cosec x ⇒ p x = cot x

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