this questions is for differential equation & linear algebra level.
can anyone tell me about separable equations:
ex:
yy'=4x, y(1) = -3

Question

this questions is for differential equation & linear algebra level. 
can anyone tell me about separable equations:
ex:
yy'=4x, y(1) = -3

anonymous · Answer

ydy = 4xdx
Since it already separate, take integral both sides

adunb8 · Answer

oh if it is separable i have to use v=y/x which y= xv and y' = v+xv'

adunb8 · Answer

and how do you know if its separate or not?

anonymous · Answer

Separate means x terms in one side and y terms in the other side!

adunb8 · Answer

what if its like 3y^2y' = (1+y^3)cosx like this problem i wouldnt know right away that it is separable or not how do i tell ?

anonymous · Answer

Because ( 1 + y^3) to the right, you need to switch them to the left side!

adunb8 · Answer

so all i am doing for separable equation is to separate x to one side and y to other?

anonymous · Answer

ydy = 4xdx 
Since it already separate, take integral both sides

adunb8 · Answer

oh i see okay so what would be the total solution?

anonymous · Answer

=> y = ..

adunb8 · Answer

?? y = ...?