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## Main Question or Discussion Point

So this equation came up:

xy' + y = cos x

Now I was just wondering how to solve this, all I've learned how to do is separation of variables, which cannot be used in this case.

Basically I ask this because a solution for y is an infinite series, so basically I'm just wondering if the infinite series converges to some function of x, and if it does which function is it?

xy' + y = cos x

Now I was just wondering how to solve this, all I've learned how to do is separation of variables, which cannot be used in this case.

Basically I ask this because a solution for y is an infinite series, so basically I'm just wondering if the infinite series converges to some function of x, and if it does which function is it?