(a)
\The differential equation is
.
The differential equation passes through the point
.
Divide each side by
.
Integrate on both sides.
\
From the logarithem and power rule.
\
From Logarithm exponential rule.
\
.
This equation passes throught the point
.

The value of
.
Subtract
from each side.
Substitute
in the differential equation
.
.
Sketch two approximate solutions of the differential equation on the slope field.
\
(b)
\The particular solution of the differential equation is
.
Graph :
\(1) Draw the coordinate plane.
\(2) Graph the function
.

(a)
\Sketch two approximate solutions of the differential equation on the slope field.
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(b)
\The particular solution is
.
