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Function Desolve - HP 48gII User Manual

Graphing calculator.
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'X
' ` 'X
The solution is:
which can be simplified to
⋅e
–3x
y = K
+ K
1

Function DESOLVE

The calculator provides function DESOLVE (Differential Equation SOLVEr) to
solve certain types of differential equations. The function requires as input the
differential equation and the unknown function, and returns the solution to the
equation if available.
differential equation and the initial conditions, instead of only a differential
equation, as input to DESOLVE.
CALC/DIFF menu.
Examples of DESOLVE applications are shown below
using RPN mode.
Example 1 – Solve the first-order ODE:
In the calculator use:
'
The solution provided is
{'y = (5*INT(EXP(xt^3/3),xt,x)+CC0)*1/EXP(x^3/3))' }, which simplifies to
X
⋅e
⋅e
5x
2x
2
+ K
+ (450⋅x
+330⋅x+241)/13500.
2
3
You can also provide a vector containing the
The function DESOLVE is available in the
2
⋅y(x) = 5.
dy/dx + x
= ' ` '
3
=
y
(
x
)
5
exp(
x
/
) 3
X
' ` DE
' ` DE O
E
(
3
+
exp(
x
/
) 3
dx
C
)
.
0
Page 14-3

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