关于用Python的Sympy库求解微分方程解析解时返回值是空列表的问题

Question

1、对于一个微分方程，使用MATLAB可以很轻松得到其解析解，但是使用Python的sympy库却返回一个空列表。
2、
MATLAB代码如下:

clear;   
clc;
syms T(x) x m n q A;
x1 = 339.5;
x2 = 410.5;
T1 = 255;
T2 = 25;
m=2.4772
n = 0.0071
q = (m+n*(T2+T1)/2)*((T2-T1)/(x2-x1))
e = diff(T,x) == q/(m+n*T(x));  %待求解方程
cond = [T(x1)==T1];     %边界条件
T = dsolve(e,cond)

结果

T =

(2^(1/2)*(7259410169/2 - 7983760*x)^(1/2))/71 - 24772/71

Python代码如下

import sympy as sy
def solveequ(x1,x2,T1,T2,m=2.4772,n=0.0071):
    T_e = sy.symbols('T_e', cls=sy.Function)
    x = sy.symbols("x")
    Q = ((T2-T1)/(x2-x1))*(m+n*(T2+T1)/2)
    eq = sy.Eq((m+n*T_e(x))*T_e(x).diff(x),Q)
    edge = {}
    edge[T_e(x1)] = T1
    getT = sy.dsolve(eq,T_e(x), ics=edge)
    return getT
T0 = 25
T1 = 175
T2 = 195
T3 = 235
T4 = 255
T_e = solveequ(339.5,410.5,T4,T0)

[]

Answer 1

Python3.7
Sympy1.8