Solve the differential equation:

On dividing by xwe get

Now, we solve this differential equation by an Integrating Factor as the above equation is similar to

Where

and Q = 1

I.F =

[∵ log a + log b = log ab]

= x sinx [∵ e^{log x} = x]

Now, we multiply the differential equation by I.F, we get

Now, Integrating both the sides, we get