Tosolvethisequamonrstrewriteitinthe dierenalform h y

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Unformatted text preview: e
expression
for
dy/dx
can
 be
factored
(or
“separated”)
as
a
funcMon
of
x
 Mmes
a
funcMon
of
y.
 In
other
words,
it
can
be
wriZen
in
the
form
 dy = g( x ) ⋅ f ( y ) dx Separable
EquaMons
 It
is
possible
to
find
an
algebraic
soluMon
(formula
 for
y(x))
for
these
types
of
DEs.
 To
solve
this
equaMon,
first
rewrite
it
in
the
 differen+al
form
 h( y ) dy = g( x ) dx where h ( y ) = 1 f ( y ) so
that
all
y’s
are
on
one
side
of
the
equaMon
and
 all
x...
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