Q. 37 I5.0( 2 Votes )

# Solve each of the following initial value problems: ,  , Given and    This is a first order linear differential equation of the form Here, and The integrating factor (I.F) of this differential equation is,  We have  I.F = x [ elog x = x]

Hence, the solution of the differential equation is,     Recall    xy = x sin x + c  However, when , we have y = 1   c = 0

By substituting the value of c in the equation for y, we get y = sin x

Thus, the solution of the given initial value problem is y = sin x

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