Error, (in collect) cannot collect a^Phi(xi)

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Question:Error, (in collect) cannot collect a^Phi(xi)

Posted: bashar27 55 Product: Maple

March 24 2021

restart;
T := diff(Phi(xi), xi);
d
---- Phi(xi)
dxi
restart;
T := (p*a^(-Phi(xi))+q+r*a^Phi(xi))/ln(a);
(-Phi(xi)) Phi(xi)
p a + q + r a
------------------------------
ln(a)
u[0] := C[0]+C[1]*a^Phi(xi)+C[2]*a^(2*Phi(xi));
Phi(xi) (2 Phi(xi))
C[0] + C[1] a + C[2] a
u[1] := diff(u[0], xi);
Phi(xi) / d \
C[1] a |---- Phi(xi)| ln(a)
\ dxi /

(2 Phi(xi)) / d \
+ 2 C[2] a |---- Phi(xi)| ln(a)
\ dxi /
d[1] := C[1]*a^Phi(xi)*T*ln(a)+2*C[2]*a^(2*Phi(xi))*T*ln(a);
Phi(xi) / (-Phi(xi)) Phi(xi)\
C[1] a \p a + q + r a /

(2 Phi(xi)) / (-Phi(xi)) Phi(xi)\
+ 2 C[2] a \p a + q + r a /
u[2] := diff(d[1], xi);
Phi(xi) / d \ / (-Phi(xi))
C[1] a |---- Phi(xi)| ln(a) \p a + q
\ dxi /

Phi(xi)\ Phi(xi) /
+ r a / + C[1] a |
\
(-Phi(xi)) / d \
-p a |---- Phi(xi)| ln(a)
\ dxi /

Phi(xi) / d \ \ (2 Phi(xi)) / d
+ r a |---- Phi(xi)| ln(a)| + 4 C[2] a |----
\ dxi / / \ dxi

\ / (-Phi(xi)) Phi(xi)\
Phi(xi)| ln(a) \p a + q + r a / + 2 C[2]
/

(2 Phi(xi)) / (-Phi(xi)) / d \
a |-p a |---- Phi(xi)| ln(a)
\ \ dxi /

Phi(xi) / d \ \
+ r a |---- Phi(xi)| ln(a)|
\ dxi / /
d[2] := C[1]*a^Phi(xi)*T*ln(a)*(p*a^(-Phi(xi))+q+r*a^Phi(xi))+C[1]*a^Phi(xi)*(-p*a^(-Phi(xi))*T*ln(a)+r*a^Phi(xi)*T*ln(a))+4*C[2]*a^(2*Phi(xi))*T*ln(a)*(p*a^(-Phi(xi))+q+r*a^Phi(xi))+2*C[2]*a^(2*Phi(xi))*(-p*a^(-Phi(xi))*T*ln(a)+r*a^Phi(xi)*T*ln(a));
2
Phi(xi) / (-Phi(xi)) Phi(xi)\ Phi(xi) /
C[1] a \p a + q + r a / + C[1] a \
(-Phi(xi)) / (-Phi(xi)) Phi(xi)\
-p a \p a + q + r a /

Phi(xi) / (-Phi(xi)) Phi(xi)\\
+ r a \p a + q + r a //

2
(2 Phi(xi)) / (-Phi(xi)) Phi(xi)\
+ 4 C[2] a \p a + q + r a / + 2 C[

(2 Phi(xi)) /
2] a \
(-Phi(xi)) / (-Phi(xi)) Phi(xi)\
-p a \p a + q + r a /

Phi(xi) / (-Phi(xi)) Phi(xi)\\
+ r a \p a + q + r a //
expand((2*k*k)*w*beta*d[2]-(2*alpha*k*k)*d[1]-2*w*u[0]+k*u[0]*u[0]);
2 Phi(xi)
-2 alpha k C[1] p + 2 k C[0] C[1] a

2 3
/ Phi(xi)\ / Phi(xi)\
+ 2 k C[0] C[2] \a / + 2 k C[1] \a / C[2]

2 Phi(xi)
- 2 w C[0] + k C[0] - 2 w C[1] a

2 2
/ Phi(xi)\ 2 / Phi(xi)\
- 2 w C[2] \a / + k C[1] \a /

4
2 / Phi(xi)\ 2 Phi(xi)
+ k C[2] \a / + 4 k w beta C[1] a p r

2
2 / Phi(xi)\
+ 6 k w beta C[1] \a / q r

2 Phi(xi)
+ 12 k w beta C[2] a p q

2
2 / Phi(xi)\
+ 16 k w beta C[2] \a / p r

3
2 / Phi(xi)\ 2 2
+ 20 k w beta C[2] \a / q r + 4 k w beta C[2] p

2
2 Phi(xi) 2 / Phi(xi)\
- 2 alpha k C[1] a q - 2 alpha k C[1] \a / r

2
2 Phi(xi) 2 / Phi(xi)\
- 4 alpha k C[2] a p - 4 alpha k C[2] \a / q

3
2 / Phi(xi)\ 2
- 4 alpha k C[2] \a / r + 2 k w beta C[1] p q

2 Phi(xi) 2
+ 2 k w beta C[1] a q

3
2 / Phi(xi)\ 2
+ 4 k w beta C[1] \a / r

2
2 / Phi(xi)\ 2
+ 8 k w beta C[2] \a / q

4
2 / Phi(xi)\ 2
+ 12 k w beta C[2] \a / r
value(%);
2 Phi(xi)
-2 alpha k C[1] p + 2 k C[0] C[1] a

2 3
/ Phi(xi)\ / Phi(xi)\
+ 2 k C[0] C[2] \a / + 2 k C[1] \a / C[2]

2 Phi(xi)
- 2 w C[0] + k C[0] - 2 w C[1] a

2 2
/ Phi(xi)\ 2 / Phi(xi)\
- 2 w C[2] \a / + k C[1] \a /

4
2 / Phi(xi)\ 2 Phi(xi)
+ k C[2] \a / + 4 k w beta C[1] a p r

2
2 / Phi(xi)\
+ 6 k w beta C[1] \a / q r

2 Phi(xi)
+ 12 k w beta C[2] a p q

2
2 / Phi(xi)\
+ 16 k w beta C[2] \a / p r

3
2 / Phi(xi)\ 2 2
+ 20 k w beta C[2] \a / q r + 4 k w beta C[2] p

2
2 Phi(xi) 2 / Phi(xi)\
- 2 alpha k C[1] a q - 2 alpha k C[1] \a / r

2
2 Phi(xi) 2 / Phi(xi)\
- 4 alpha k C[2] a p - 4 alpha k C[2] \a / q

3
2 / Phi(xi)\ 2
- 4 alpha k C[2] \a / r + 2 k w beta C[1] p q

2 Phi(xi) 2
+ 2 k w beta C[1] a q

3
2 / Phi(xi)\ 2
+ 4 k w beta C[1] \a / r

2
2 / Phi(xi)\ 2
+ 8 k w beta C[2] \a / q

4
2 / Phi(xi)\ 2
+ 12 k w beta C[2] \a / r
simplify(%);
2 Phi(xi)
-2 alpha k C[1] p + 2 k C[0] C[1] a

(2 Phi(xi)) (3 Phi(xi))
+ 2 k C[0] C[2] a + 2 k C[1] a C[2]

(2 Phi(xi)) 2 (2 Phi(xi))
- 2 w C[2] a + k C[1] a

2 (4 Phi(xi)) 2 (2 Phi(xi))
+ k C[2] a - 2 alpha k C[1] a r

2 (2 Phi(xi))
- 4 alpha k C[2] a q

2 (3 Phi(xi)) 2
- 4 alpha k C[2] a r - 2 w C[0] + k C[0]

Phi(xi) 2 (2 Phi(xi))
- 2 w C[1] a + 6 k w beta C[1] a q r

2 (2 Phi(xi))
+ 16 k w beta C[2] a p r

2 (3 Phi(xi))
+ 20 k w beta C[2] a q r

2 Phi(xi)
+ 4 k w beta C[1] a p r

2 Phi(xi) 2 2
+ 12 k w beta C[2] a p q + 4 k w beta C[2] p

2 Phi(xi) 2 Phi(xi)
- 2 alpha k C[1] a q - 4 alpha k C[2] a p

2 (3 Phi(xi)) 2
+ 4 k w beta C[1] a r

2 (2 Phi(xi)) 2
+ 8 k w beta C[2] a q

2 (4 Phi(xi)) 2 2
+ 12 k w beta C[2] a r + 2 k w beta C[1] p q

2 Phi(xi) 2
+ 2 k w beta C[1] a q
collect(%, a^Phi(xi));
Error, (in collect) cannot collect a^Phi(xi)

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Question:Error, (in collect) cannot collect a^Phi(xi)

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