用SymPy在Python中求解指数函数

我有一个小的网络应用程序，需要3点，并计算抛物线函数或指数函数.下面是抛物线的代码:

@app.route("/calculate/parabola", methods=["POST"])
def calculate_parabola():
    content = request.get_json()
    p1_X = content["p1_X"]
    p1_Y = content["p1_Y"]
    p2_X = content["p2_X"]
    p2_Y = content["p2_Y"]
    p3_X = content["p3_X"]
    p3_Y = content["p3_Y"]
    
    a, b, c = symbols("a,b,c")
    eq1 = Eq((a*(p1_X**2)+b*p1_X+c),p1_Y)
    eq2 = Eq((a*(p2_X**2)+b*p2_X+c), p2_Y)
    eq3 = Eq((a*(p3_X**2)+b*p3_X+c), p3_Y)

    eq_result = solve((eq1, eq2, eq3), (a,b,c))
    print(eq_result)

    returnJSON = {
        "function": f"{eq_result[a]}*x^2+{eq_result[b]}*x+{eq_result[c]}",
        "success": 1
    }
    return returnJSON

这很好用.But here's the problem:

@app.route("/calculate/exponential-function", methods=["POST"])
def calculate_exponential_function():
    print("calculating...")
    content = request.get_json()
    p1_X = content["p1_X"]
    p1_Y = content["p1_Y"]
    p2_X = content["p2_X"]
    p2_Y = content["p2_Y"]
    p3_X = content["p3_X"]
    p3_Y = content["p3_Y"]
    
    a, b, c = symbols("a,b,c", real=True)
    # eq1 = Eq((a*(b**p1_X)+c), p1_Y)
    # eq2 = Eq((a*(b**p2_X)+c), p2_Y)
    # eq3 = Eq((a*(b**p3_X)+c), p3_Y)

    eq1 = Eq((a*(b**p1_X)+c), p1_Y)
    eq2 = Eq((a*(b**p2_X)+c), p2_Y)
    eq3 = Eq((a*(b**p3_X)+c), p3_Y)


    # eq_result = solve((eq1, eq2, eq3), (a,b,c))
    eq_result = solve((eq1, eq2, eq3), (a,b,c))

    print(eq_result)

    returnJSON = {}

    if(eq_result == []):
        returnJSON = {
        "success": 0
        }
    else:
        returnJSON = {
        "function": f"{eq_result[a]}*({eq_result[b]}**x)+{eq_result[c]}",
        #"function": f"{eq_result[a]}*x+{eq_result[c]}",
        "success": 1
        }

    return returnJSON

如果一切正常，"eq_result"应该是这样的: {a: 5/6, b: -1/6, c: 1} 但是当执行calculate_exponential_function()时，"eq_result"输出(例如): [(-27/5, -2/3, 32/5), (1, 2, 0)] 我做错什么了吗？如果你需要更多的信息就告诉我.