(a)
\The differential equation is
.
The differential equation passes through the point
.
Seperate the variables by bringing
terms to the left side of the equation.
Integrate on both sides.
\
From logarithm and power rule.
\
From the logarithm exponential rule.
\
.
This equation passes throught the point
.

Substitute the value in
.
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)
\
(b)
\The particular solutions of the differential equation is
.
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