Section
2.3
Modeling
with
First
Order:
Problem
7
(1
point)
A
curve
passes
through
the
point
(0,
2)and
has
the
property
that
the
slope
of
the
curve
at
every
point
P'is
twice
the
y-coordinate
of
P.
What
is
the
equation
of
the
curve?
)
Solution:
y(x)satisfies
the
differential
equation
dy
==
=2
dx
Y
with
solution
y(x)
=
Ce
Since
the
curve
passes
through
the point
(0,
2)we
have
2
=
Go
