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Solve an equation changing the value range limit?

GROUPS:
  1. According attachment Test01.nb,if I change AΩp=1; to AΩp=0.1; The solve will error,I have no idea about the reason (value range limit?)
  2. According attachment Test02.nb,how can I simplified the DSolve solution?
Attachments:
POSTED BY: D J
Answer
6 months ago

As for question 1, to use Solve it is better to use exact coefficients:

\[CapitalGamma] = 1 ; L = 1/100;
OD = 100; \[Gamma] = 0; \[CapitalDelta]pp = -100 \[CapitalGamma]; \
\[CapitalDelta]c = 0 \[CapitalGamma]; \[CapitalOmega]pp = 
 3 \[CapitalGamma]; \[CapitalOmega]c = 
 1 \[CapitalGamma]; \[CapitalOmega]p0 = 
 1/10 \[CapitalGamma]; \[CapitalOmega]s0 = 0 \[CapitalGamma];
\[Gamma]21 = \[Gamma]*\[CapitalGamma]; \[Gamma]31 = \[Gamma]41 = \
\[Gamma]32 = \[Gamma]42 = \[Gamma]43 = \[CapitalGamma]/2;
Eta = (OD \[CapitalGamma])/(2 L);
A\[CapitalOmega]p = 1; A\[CapitalOmega]s = 0;

{sol07} = Solve[...

This way I get an exact solution.

POSTED BY: Gianluca Gorni
Answer
6 months ago

thank you very much : )

POSTED BY: D J
Answer
6 months ago

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