Hi,
Le lundi 24 février 2025 à 17:39:30 UTC+1, bernd.bre...@gmail.com a écrit :
So how should i define H in 'In [2]', so that 'In [4]' shows the
expected result.
Basically you should define H as a symbolic expression, not a function, and
make a distinction between functions and symbolic variables.
A solution is
t = var('t')
r = var('r')
delta = var('delta')
alpha = var('alpha')
x = function('x')
k = function('k')
lambda_ = function('lambda_')
X = var('X')
K = var('K')
L = var('L')
H = K*(1 - X)*exp(-r*t) + L*(K^alpha*X - delta*K)
to_functions = {X: x(t), K: k(t), L: lambda_(t)} # a dictionary to perform
substitutions
eq1 = (diff(H, X).subs(to_functions) == 0)
eq2 = (diff(H, K).subs(to_functions) == - diff(lambda_(t), t))
Best wishes,
Eric. .
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