[Python] Sympy, I can't solve an equation symbolically. It keeps trying to give real solutions

# Python 3.13
# Used variables in question
x = sym.Symbol("x")
I1 = sym.Symbol("I₁")
L = sym.Symbol("L")
pi = sym.Symbol("Π")
v2 = sym.Symbol("v2")
P = sym.Symbol("P")
E = sym.Symbol("E")

I = I1 * (1 - x/L)

# For the part a of the question one in Assignment 3.
question_part = "a"
if question_part == "a":
func_v = (1 - sym.cos((pi*x)/(2*L))) * v2
moment = P * L
second_derivative_v = sym.diff(func_v, x, x)
internal_strain_e_func = 0.5 * moment *second_derivative_v / (E * I)
internal_strain_e = sym.integrate(internal_strain_e_func, (x, 0, L))
external_e = P * v2
tip_deflection_eq = sym.Eq(internal_strain_e, external_e)
tip_deflection = sym.solve(tip_deflection_eq, v2, exclude=[I1, L, pi, P, E], implicit=True)
sym.pprint(tip_deflection)


Code above is for virtual displacement method for a beam deflection question. I can technically do it by hand however, I get a lot of questions that requires for me to solve integrals and I do make mistakes when I do it by hand. So in this one I thought I would do it by sympy and its okey up until the solve() method. For some reason I can't get a symbolically written solution for eq. The eq. I am trying to solve is:



Edit: I am sorry everyone v2 is not supposed be a part in function v. The question gave it to me and I took it without thinking about it although I did learn stuff that I didn't know and would probably ask later so not much of a waste of your time. Thanks!

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