ASAP I need Calculus help!

Serendipity

So - I have this assignment for my Calc IV class due Monday, and I'm totally stumped on the answer. In fact, for those who have taken Calc IV, you can probably relate to the fact that it's different from Calc 1 and 2 and VERY different from Calc III.

The problem asks to verify that y(x) satisfies the given differential equation and then determine a value of the constant C so that y(x) satisfies the given initial condition. Then it gives an equation as follows:

y' + y tan(x) = cos (x); y(x) = (x + c)*cos(x), y(pi) = 0.

So with that said, I tried integrating both sides like I used to do in Calc III but that didn't work. Apparently everything I learned in Calc III doesn't really apply here

Anyways, it would be greatly appreciated if anyone could help me figure this out, I'm not really looking for an answer here but rather advice on how to solve the problem. In fact, I'd rather NOT have just an answer - I really want to know what the steps are to solve the problem.

Thanks!

schwarcw

Now you are really stetching the limits of Forum members. Maybe Darqueknight might be able to help. Tommy boy is taking diffy Q right now. I can't help, like I said in Michael's thread it's been too long since I even thought about this stuff. BTW, we used to solve these problems on slide rules:D

Serendipity

schwarcw wrote: »

Now you are really stetching the limits of Forum members. Maybe Darqueknight might be able to help. Tommy boy is taking diffy Q right now. I can't help, like I said in Michael's thread it's been too long since I even thought about this stuff. BTW, we used to solve these problems on slide rules:D

Thanks,

Like I said before I'm not really looking for an answer but rather I want to find out how to solve the problem...

Ricardo

Go to class, go to the library, get some books, start doing the exercises.

Serendipity

Ricardo wrote: »

Go to class, go to the library, get some books, start doing the exercises.

Uhm...

I've been doing this for the past few hours. Do you want me to post the work? I just integrated both sides but you have x and y.

Serendipity

And...

If you've actually been reading around here, you'd know that I had a 100+ degree fever for the last few days.

Ricardo

appadv wrote: »

Uhm...

I've been doing this for the past few hours. Do you want me to post the work? I just integrated both sides but you have x and y.

I don't want anything. 30 years ago when I was through Calculus that's what I did. Go to the library, get some books, do the exercises. Of course there was no internet, no forums to go ask for help.

Serendipity

Ricardo wrote: »

I don't want anything. 30 years ago when I was through Calculus that's what I did. Go to the library, get some books, do the exercises. Of course there was no internet, no forums to go ask for help.

The point is that I wouldn't have procrastinated had I not been sick for the past week. I rarely wait until the last minute to do homework!!

That's why I am asking for help...

DannyD

Calculus!!...oh god WHY???::p

audiobliss

DannyD wrote: »

Calculus!!...oh god WHY???::p

Because it's FUN!

Meh, and it's the language of the universe.

Squidmon

Oh Gawd, it's been 25 yrs since I took that.

Serendipity

I'll have to admit, it's my fault for waiting until 2 days before the assignment was due to start on it. But between being sick in bed and going to the doctor, I didn't get much done this week

Serendipity

I'm getting close...

I have the following: Since y' + y tan(x) = cos (x); y(x) = (x + c)*cos(x), y(pi) = 0, I can rewrite this equation as just y1' =?= y1'' and then find the values for y1' and y1''. That way it is a single variable equation. But then I'm stuck here.

I've checked to see if the left hand side = the right hand side, and that's okay, but I'm still not sure how to find the constant C. What should I do next?

Thanks,