compute and solve Jacobi's equation for conjugate points
Jacobi(f, t, x(t), X(t), h, a)
integrand to be tested
dependent function or list of functions
expression for the extremal (found by solving the Euler-Lagrange equations)
name for the unknown function in Jacobi's equation
initial point (left end of the interval)
The Jacobi(f, t, x(t), X(t), h, a) command finds Jacobi's equation and tries to find solutions of Jacobi's equation, that is, conjugate points.
The routine returns an expression sequence consisting of Jacobi's equation and any solutions found by dsolve.
If dsolve encounters a problem, an error message is returned.
If dsolve fails to find a solution, only Jacobi's equation is returned.
If the solution of Jacobi's equation has a zero on the region of interest, the extremal is not optimal.
f ≔ −ⅆⅆt⁢y⁡t22+y⁡t22
f ≔ −12⁢ⅆⅆt⁢y⁡t2+12⁢y⁡t2
Download Help Document
What kind of issue would you like to report? (Optional)
Thank you for submitting feedback on this help document. Your feedback will be used
to improve Maple's help in the future.