Differential Equation Graphing 428
Example
ExampleExample
Example
1. Press 3 and set Graph=DIFF EQUATIONS.
2. Define a system of equations for the 2nd-
order equation.
Rewrite the equation and make the
necessary substitutions.
3. In the Y= Editor (8#), enter the
system of equations.
4. Enter the initial conditions:
yi1=0 and yi2=1
Note: t0 is the time at which the initial
conditions occur. It is also the first t
evaluated for the graph. By default, t0=0.
5. Press:
, 9
— or —
@8Í and set Axes= ON, Label s =
OFF
, Solution Method = RK, and
Fields = DIRFLD.
Important: For 2nd-order equations, you
must set Fields=DIRFLD or FLDOFF.
y'' + y = 0
y'' = Ly
y'' = Ly1
y2' = Ly1
yi1 is the initial
condition for y(0).
yi2 is the initial
condition for y'(0).