The differential equation is and the point is
(a) Graph:
\Graph the differential equation . \
Now draw a solution curve so that it move parallel to the near by segments.
\ \In the similar manner, draw few more solutions of the differential equation.
\One of the solution of the differential equation should pass through the point .
(b)
\Consider .
Rewrite the equation. \ \
\.
Integrate on each side.
\Identity property:
Substitute the point in above solution.
Substitute in solution function.
.
Solution of the differential equation passing through is
.
Graph the solution of the differential equation .
(a) Differential equation with two approximate solutions is \ \
\(b) Solution of the differential equation passing through is
.
Graph the solution curve is \ \