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Catégorie :Category: nCreator TI-Nspire
Auteur Author: ElJefazo_
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 1.68 Ko KB
Mis en ligne Uploaded: 18/03/2025 - 18:32:27
Uploadeur Uploader: ElJefazo_ (Profil)
Téléchargements Downloads: 1
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4538786
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 1.68 Ko KB
Mis en ligne Uploaded: 18/03/2025 - 18:32:27
Uploadeur Uploader: ElJefazo_ (Profil)
Téléchargements Downloads: 1
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4538786
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
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import sympy as sp def resolver_ecuacion_exacta(): print("Ingrese la ecuación diferencial en la forma M(x,y)dx + N(x,y)dy = 0") x, y = sp.symbols('x y') M_expr = input("Ingrese M(x, y): ") N_expr = input("Ingrese N(x, y): ") M = sp.sympify(M_expr) N = sp.sympify(N_expr) dM_dy = sp.diff(M, y) dN_dx = sp.diff(N, x) print(f"dM/dy = {dM_dy}") print(f"dN/dx = {dN_dx}") if dM_dy == dN_dx: print("La ecuación es exacta. Calculando la función potencial F(x, y)...") F_x = sp.integrate(M, x) print(f"Integral de M respecto a x: F(x, y) = {F_x} + h(y)") dF_y = sp.diff(F_x, y) h_y = sp.simplify(N - dF_y) if h_y != 0: h = sp.integrate(h_y, y) else: h = 0 print(f"h(y) = {h}") print(f"Solución final: F(x, y) + {h} = C") else: print("La ecuación no es exacta y no puede resolverse con este método.") resolver_ecuacion_exacta() Made with nCreator - tiplanet.org
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Compatible OS 3.0 et ultérieurs.
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import sympy as sp def resolver_ecuacion_exacta(): print("Ingrese la ecuación diferencial en la forma M(x,y)dx + N(x,y)dy = 0") x, y = sp.symbols('x y') M_expr = input("Ingrese M(x, y): ") N_expr = input("Ingrese N(x, y): ") M = sp.sympify(M_expr) N = sp.sympify(N_expr) dM_dy = sp.diff(M, y) dN_dx = sp.diff(N, x) print(f"dM/dy = {dM_dy}") print(f"dN/dx = {dN_dx}") if dM_dy == dN_dx: print("La ecuación es exacta. Calculando la función potencial F(x, y)...") F_x = sp.integrate(M, x) print(f"Integral de M respecto a x: F(x, y) = {F_x} + h(y)") dF_y = sp.diff(F_x, y) h_y = sp.simplify(N - dF_y) if h_y != 0: h = sp.integrate(h_y, y) else: h = 0 print(f"h(y) = {h}") print(f"Solución final: F(x, y) + {h} = C") else: print("La ecuación no es exacta y no puede resolverse con este método.") resolver_ecuacion_exacta() Made with nCreator - tiplanet.org
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