Hello, I'm a first time poster and a hobbyist who is trying to model a system,
I'm attempting to solve this ODE:
y' = cos(cx)sin(yx) where y is a function of x and c is a constant
I can't seem to get Mathematica (I just got a trial version) to do much with it and solving it on it's own is pretty hard.
Something that may be helpful: I have also considered that since, by the chain rule, if we make
g(x) = yx then
g'(x) = cos(cx). this is the little trick that might make this work
Using the product rule g'(x) =y'x + x'y = y'x+y = cos(cx) which can be rewritten as:
This is no longer an ODE. It's well, just an equation. But I'm nut sure how to simplify it into something i can graph, even though i've tried (using Mathematica) graphing it using the above and the complex exponential equivalent of the equation.