# HP F2226A - 48GII Graphic Calculator User Manual Page 500

Graphing calculator.

'X/(X^2+1)' ` ILAP
'1/(X^2+1)' ` ILAP
'EXP(-3*X)/(X^2+1)' ` ILAP
[2]. The very last result, i.e., the inverse Laplace transform of the expression
'(EXP(-3*X)/(X^2+1))', can also be calculated by using the second shifting
theorem for a shift to the right
if we can find an inverse Laplace transform for 1/(s
try '1/(X^2+1)' ` ILAP.
sin(t-3)⋅H(t-3),
Check what the solution to the ODE would be if you use the function LDEC:
'Delta(X-3)' ` 'X^2+1' ` LDEC µ
The result is:
'SIN(X-3)*Heaviside(X-3) + cC1*SIN(X) + cC0*COS(X)+'.
Please notice that the variable X in this expression actually represents the
variable t in the original ODE. Thus, the translation of the solution in paper
may be written as:
y
) (
t
=
Co
cos
When comparing this result with the previous result for y(t), we conclude that
cC
= y
, cC
= y
.
o
o
1
1
Result, 'COS(X)', i.e., L
Result, 'SIN(X)', i.e., L
Result, SIN(X-3)*Heaviside(X-3)'.
-1
–as
⋅F(s)}=f(t-a)⋅H(t-a),
L
{e
The result is 'SIN(X)'.
t
+
C
sin
t
+
sin(
t
) 3
1
-1
2
{s/(s
+1)}= cos t.
-1
2
{1/(s
+1)}= sin t.
2
+1). With the calculator,
-1
–3s
2
Thus, L
{e
/(s
+1))} =
H
(
t
) 3
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