The RHS is easy, .
The LHS is solved using Partial Fractions:
and .
So .
Therefore the LHS:
.
So your DE solution is
where
where
.
1. Find the general solution of the following differential equations:
(a) dy/dx = y(1-y)
(b) dy/dx = 3 -2y
what i tried to do was move them to LHS....
[ ]( )=1
Integrate wrt x,
dy= 1 dx
then...i'm stuck...
as for (b)
2y + dy/dx =3
....I couldn't figure it out how to express y in terms of x eventually.
any help is much appreciated.