Are there some rules for differential equations to know by looking at them if they are seperable? I couldn't see any in google. Such as dy/dx= ln(xy), (sinx)(cosxy), sin(x+y), x/y, (x+y). =So trying to solve the ln(xy) we get two dx, and that can't happen. What are other tricks for identifying these. I don't know how to work with the sin, cos etc well. I see that sin(x) + sin(y) not equal to sin (x+y) but i dont know this applies to all sin/cos/tan/inverse of these etc. Or how to really seperate them when transposing. Additionally, just what to be looking for. Thanks. Hopefully something comes from this post to assist me.
Have a look at the Quick reference section of http://www.mathcentre.ac.uk/students/topics/differential-equations/differentialequations2/ There is a pdf on Solving Differential Equations By Separating Variables which might help.
Have a look at the Quick reference section of http://www.mathcentre.ac.uk/students/topics/differential-equations/differentialequations2/ There is a pdf on Solving Differential Equations By Separating Variables which might help.