Q. 37 O4.0( 2 Votes )

# Solve each of the following initial value problems: , tan x ≠ 0 given that y = 0 when  , tan x ≠ 0 given that y = 0 when Given and      This is a first order linear differential equation of the form Here, P = cot x and Q = 2x + x2 cot x

The integrating factor (I.F) of this differential equation is,  We have  I.F = sin x [ elog x = x]

Hence, the solution of the differential equation is,      Recall    y sin x = x2sin x + c  However, when , we have y = 0    By substituting the value of c in the equation for y, we get  Thus, the solution of the given initial value problem is Rate this question :

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