HP 49g manual Variable Odetype, Desolve`

The variable ODETYPE

You will notice in the soft-menu key labels a new variable called

(ODETYPE). This variable is produced with the call to the DESOL function and holds a string showing the type of ODE used as input for DESOLV . Press

to obtain the string “1st order linear”.

Example 2 – Solving an equation with initial conditions. Solve

d2y/dt2 + 5y = 2 cos(t/2),

with initial conditions

y(0) = 1.2, y’(0) = -0.5.

In the calculator, use:

[‘d1d1y(t)+5*y(t) = 2*COS(t/2)’ ‘y(0) = 6/5’ ‘d1y(0) = -1/2’]

‘y(t)’

DESOLVE`

Notice that the initial conditions were changed to their Exact expressions,

‘y(0) = 6/5’, rather than ‘y(0)=1.2’, and ‘d1y(0) = -1/2’, rather than, ‘d1y(0)
= -0.5’. Changing to these Exact expressions facilitates the solution.@ODETY`
Note: To obtain fractional expressions for decimal values use function		Q
(See@ODETYChapter 5).
Press	to simplify the result. The solution is:
i.e.,
‘y(t) = -((19*5*SIN(√5*t)-(148*COS(√5*t)+80*COS(t/2)))/190)’.
Press	to get the string “Linear w/ cst coeff” for the ODE type
in thisµµcase.		￿
J@ODETY

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