How to proceed to find the general and singular solution of the equation 3xy=2px^{2}-2p^{2}, p=dy/dx
Follow Math Help Forum on Facebook and Google+
Hey Suvadip. For those unfamiliar with non-linear DE's, what techniques have you covered in your course? (Analytic as opposed to numeric which could be applied here)
When you write , are you meaning or ?
(dy/dx)^2
Originally Posted by Suvadip How to proceed to find the general and singular solution of the equation 3xy=2px^{2}-2p^{2}, p=dy/dx I would probably try something like this: I don't know if this looks any easier to solve...
how to find y from the last expression?
That is NOT a 'linear' differential equation and so may NOT have a "general" solution at all.
y=px+p^2 is also not a linear diff eq, but its general solution is y=cx+c^2
View Tag Cloud