Issue solving a non-linear differential equation in Matlab
2 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
ErikJon Pérez Mardaras
le 29 Juil 2021
Commenté : Star Strider
le 29 Juil 2021
Hi everyone,
I am trying to resolve the following non-linear differential equation in matlab:
For which I have written the following code
syms y(t)
ode = (diff(y,t))==((((t^2)/2)-(y))^(1/2));
cond = y(0) == 0;
ySol(t) = dsolve(ode,cond)
The result that Matlab calculates is the following:
But I do not understand why Matlab gives me the result in that way.
Why appears like that? Why appears (t^2)/4-(t^2)/2 instead of -(t^2)/4 ?
Is it okay the result? By hand I have reached the result (t^2)/4 and If you check this solution in the equation it make sense, but it does not make sense the result that Matlab gives. Am I wrong?
Thanks a lot
0 commentaires
Réponse acceptée
Star Strider
le 29 Juil 2021
‘Am I wrong?’
No. The result is not always as simple as it might be.
In R2021a, the Symbolic Math Toolbox apparently simplifies this result automatically. In situations where that does not occur, call simplify after calculating the result to get a simpllified final result.
syms y(t)
ode = (diff(y,t))==((((t^2)/2)-(y))^(1/2));
cond = y(0) == 0;
ySol(t) = dsolve(ode,cond)
ySol = simplify(ySol, 500) % Equivalent to: simplify(ySol, 'Steps',500)
.
2 commentaires
Plus de réponses (0)
Voir également
Catégories
En savoir plus sur Ordinary Differential Equations dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!