Implications of change management in public administration
Implications of change management in public administration
Implications of change management in public administration
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Revista T<strong>in</strong>erilor Economişti (The Young Economists Journal)<br />
2<br />
1<br />
r(<br />
t)s<strong>in</strong><br />
A<br />
( t)<br />
x(<br />
t)<br />
<br />
,<br />
2 2<br />
a b<br />
It results r 2 ( t)<br />
and from (9) we get<br />
But<br />
and it results<br />
.<br />
dx<br />
dt<br />
2<br />
(1 ) r cos A<br />
r<br />
<br />
<br />
2<br />
2<br />
1<br />
1<br />
<br />
dx<br />
dt<br />
.<br />
<br />
1 2<br />
<br />
.<br />
.<br />
a<br />
2<br />
b<br />
2<br />
112<br />
2<br />
p ( t)<br />
(1 ) r(<br />
t)cos<br />
A<br />
( ) .<br />
1<br />
t<br />
2<br />
r<br />
cos A<br />
<br />
.<br />
2<br />
1<br />
<br />
( r s<strong>in</strong> A<br />
rA<br />
cos A<br />
)<br />
2<br />
2<br />
c1 ( r s<strong>in</strong> A<br />
rA<br />
cos A<br />
) (1 ) r cos A<br />
r(1<br />
cos A<br />
), (13)<br />
where we have denoted<br />
The equation (12) yields<br />
But<br />
this leads to<br />
.<br />
2<br />
2<br />
(1 ) 1<br />
<br />
c1<br />
<br />
.<br />
2 2<br />
a b<br />
2 2<br />
dp a b<br />
1 ( r<br />
s<strong>in</strong> A<br />
r<br />
cos A<br />
s<strong>in</strong> A ).<br />
dt<br />
2<br />
1<br />
<br />
<br />
dp<br />
1 .<br />
.<br />
2<br />
(1 )( r cos A<br />
rA<br />
s<strong>in</strong> A ),<br />
dt<br />
.<br />
c1 ( r cos A<br />
rA<br />
s<strong>in</strong> A<br />
) r<br />
s<strong>in</strong> A<br />
r<br />
cos A<br />
s<strong>in</strong> A.<br />
(14)<br />
The equation (13) multiplied by cos A<br />
, m<strong>in</strong>us equation (14) multiplied by s<strong>in</strong> A<br />
lead to the equation<br />
d<br />
2<br />
c1 A ( 1<br />
cos A<br />
) , (15)<br />
dt<br />
and it results<br />
2 2<br />
A(1<br />
) 1<br />
1<br />
t d.<br />
2 2<br />
2<br />
a b (1 cos A<br />
)<br />
Moreover, the equation (13) multiplied by s<strong>in</strong> A<br />
, plus equation (14) multiplied by<br />
cos A lead to the equation<br />
dr<br />
c<br />
1<br />
r<br />
s<strong>in</strong> A<br />
( cos A<br />
1).<br />
(16)<br />
dt<br />
From the equations (15) and (16) it results<br />
dr s<strong>in</strong> A<br />
A<br />
d<br />
,<br />
r 1<br />
cos A<br />
this leads to the follow<strong>in</strong>g result<br />
ln r ln<br />
c(1<br />
<br />
cos A<br />
), c R,<br />
and we get