find the general solution of the equation y’ = y/x + x^3y^2 – x^5

Question

anonymous · Answer

the general?

anonymous · Answer

This is a really cool problem and is a form of what is known as the Ricatti equation.
The solution to this problem is rather complex, involving two different substitution functions as well as the hyperbolic trig functions. Instead of solving if for you, I encourage you to look into the Ricatti equation, and especially the relation between the complex exponential (e^(ix)) and the hyperbolic trig functions. If you get these down, you shouldn't have a problem with this. Good luck!

anonymous · Answer

yes the general

anonymous · Answer

can u help me get started with the problem please

anonymous · Answer

sure, I need to finish typing a reply to someone else though. Give me like five minutes.

anonymous · Answer

k

dumbcow · Answer

http://www.wolframalpha.com/input/?i=y%27+%3D+y%2Ft+%2B+t^3y^2+-t^5 look at "show steps"

anonymous · Answer

two words: evil exercise