How to proceed to find the general and singular solution of the equation

3xy=2px^{2}-2p^{2}, p=dy/dx

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- Jan 18th 2014, 08:28 AMSuvadipgeneral and singular solution
How to proceed to find the general and singular solution of the equation

3xy=2px^{2}-2p^{2}, p=dy/dx - Jan 18th 2014, 05:55 PMchiroRe: general and singular solution
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) - Jan 18th 2014, 08:03 PMProve ItRe: general and singular solution
When you write , are you meaning or ?

- Jan 18th 2014, 09:19 PMSuvadipRe: general and singular solution
(dy/dx)^2

- Jan 19th 2014, 12:32 AMProve ItRe: general and singular solution
- Jan 19th 2014, 02:20 AMSuvadipRe: general and singular solution
how to find y from the last expression?

- Jan 21st 2014, 05:19 AMHallsofIvyRe: general and singular solution
That is NOT a 'linear' differential equation and so may NOT have a "general" solution at all.

- Jan 23rd 2014, 08:25 PMSuvadipRe: general and singular solution
y=px+p^2 is also not a linear diff eq, but its general solution is y=cx+c^2