/sci/ - Science & Math

Have you considered a Laplace transform?

>>2804617
No... I suppose that could work, but is there not any simpler method available? Are you certain I'm just not seeing something?

>>2804621
That's the only way I know of to solve differentials like this.

integrating factor should work i think...

It's a nonlinear first order differential equation. Laplace transform won't work as Laplace transform is a linear transform.

>>2804627
I don't think tan(x) would have a Laplace transform, right? It has infinitely many infinite discontinuities, so the integral wouldn't converge that defines a Laplace transform...

it's beyond the scope of this course

Numerical methods? Power series expansion?

>>2804655
Translation: I have no clue how to do this.

>>2804665
I'll admit it. I don't. A normal introductory course in DE teaches very specific things, and this isn't one of them.

So no one here knows how to do it?

>>2804607
Well it's not linear and generally non-linear aren't covered in the course.

>>2804747
I'm not in "the course." I came here because I thought this board had a bit of mathematical knowledge and could use their mathematical tools outside of the context which they are taught.

>>2804758
Well, I can't help you unfortunately. I haven't learned that much.

y' + cos(y) = tan(x)

y' = tan(x) - cos(y)

durr.

>>2804786
that explains everything

Without much knowledge of your specific ODE, it's worth mentioning that non-linear ODE's are often impossible to solve in the sense of closed for solutions. There's also no particular reason to suppose the have any kind of non-local solution.