Need help in Homogeneous equation ...
first i apologize for my bad english.
I need to solve this equation : ( i have its solution but can't understand some parts of it )
(y4 - 3x2)dy + xydx = 0 (1)
I use y = ta ــ> dy = ata-1dt (2) and place it in (1) :
a(t5a-1 - 3x2ta-1)dt + xtadx = 0
then i don't understand this next part ( I'm typing it from solution of problem ): 5a - 1 = 2 + a - 1 ?
it then calculates a = 1/2 and solves the equation ... i don't get why 5a - 1 = 2 + a - 1 ...
thanks in advance.
Re: Need help in Homogeneous equation ...
Is this a Bernoulli type DE?