Implications of change management in public administration

Revista Tinerilor Economişti (The Young Economists Journal)
2
1
r(
t)sin
A
( t)
x(
t)
,
2 2
a b
It results r 2 ( t)
and from (9) we get
But
and it results
.
dx
dt
2
(1 ) r cos A
r
2
2
1
1
dx
dt
.
1 2
.
.
a
2
b
2
112
2
p ( t)
(1 ) r(
t)cos
A
( ) .
1
t
2
r
cos A
.
2
1
( r sin A
rA
cos A
)
2
2
c1 ( r sin A
rA
cos A
) (1 ) r cos A
r(1
cos A
), (13)
where we have denoted
The equation (12) yields
But
this leads to
.
2
2
(1 ) 1
c1
.
2 2
a b
2 2
dp a b
1 ( r
sin A
r
cos A
sin A ).
dt
2
1
dp
1 .
.
2
(1 )( r cos A
rA
sin A ),
dt
.
c1 ( r cos A
rA
sin A
) r
sin A
r
cos A
sin A.
(14)
The equation (13) multiplied by cos A
, minus equation (14) multiplied by sin A
lead to the equation
d
2
c1 A ( 1
cos A
) , (15)
dt
and it results
2 2
A(1
) 1
1
t d.
2 2
2
a b (1 cos A
)
Moreover, the equation (13) multiplied by sin A
, plus equation (14) multiplied by
cos A lead to the equation
dr
c
1
r
sin A
( cos A
1).
(16)
dt
From the equations (15) and (16) it results
dr sin A
A
d
,
r 1
cos A
this leads to the following result
ln r ln
c(1
cos A
), c R,
and we get