Find the general solution!

I have got

y'+y = sin x.

How do I start this question?

Help please!.

THank you.

Re: Find the general solution!

Quote:

Originally Posted by

**tjsdndnjs** I have got

y'+y = sin x.

How do I start this question?

Help please!.

THank you.

The solution will be of the form .

To get (the homogeneous solution) set . To get the particular solution I'd use the method of undetermined coefficients.

-Dan

Re: Find the general solution!

Quote:

Originally Posted by

**topsquark** The solution will be of the form

.

To get

(the homogeneous solution) set

. To get the particular solution I'd use the method of undetermined coefficients.

-Dan

Really? It's not a second order linear DE, it's first order linear... The integrating factor is , so we have

Now to solve that ugly integral, use integration by parts...

So the solution to your DE is

Re: Find the general solution!

Quote:

Originally Posted by

**Prove It** Really? It's not a second order linear DE, it's first order linear...

(shrugs) It's my favorite method. I've always found the integrating factor method to be somewhat clumsy. But that's my own opinion.

-Dan