(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.
\(b)
\The particular solution is .