Use a graphing utility to graph the particular solutions for the given values of C.

Question

The general solution of the differential equation is given. Use a graphing utility to graph the particular solutions for the given values of C.

Answer 1

Step 1 :

The differential equation is .

The general solution of the differential equation is .

Particular solution is .

For , particular solution is .

For , particular solution is .

For , particular solution is .

For , particular solution is .

For , particular solution is .

Step 2 :

Graph the solution curves for .

1). Draw the coordinate plane.

2). graphs the solution curves for different values of .

Graph of the solution curves :

The above graph represents the solution curves for .

Solution :

Graph of the solution curves :