Q. 325.0( 1 Vote )

Solve the following differential equations:

Answer :


This is a first order linear differential equation of the form

Here, and Q = cos x

The integrating factor (I.F) of this differential equation is,

We have

[ m log a = log am]

I.F = x2 [ elog x = x]

Hence, the solution of the differential equation is,


yx2 = x2sin x – 2{–x cos x + sin x} + c

yx2 = x2sin x + 2x cos x – 2 sin x + c

Thus, the solution of the given differential equation is

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