Q. 37 I5.0( 2 Votes )

Solve each of the following initial value problems:


Answer :


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,


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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