(a)
\The diffrential equation is .
The diffrential 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 .
Substiute 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 .
.