MaplePrimes - answers and comments on Question, dsolve

implicit method

Robert Israel — Thu, 20 Aug 2009 20:13:57 Z

There is no method called "implicit". If you're talking about numerical methods, the rosenbrock method is described as an "Implicit Rosenbrock third-fourth order Runge-Kutta method" and the mebdfi method is a "Modified Extended Backward Differentiation Equation Implicit method". Also, most of the numerical methods support the option implicit = true, which means (for a system linear in the leading derivatives) don't solve symbolically for those leading derivatives, but instead solve numerically when they are needed.

Or are you referring to the implicit option when solving symbolically, which means avoid trying to get the solution in explicit form?

dsolve

nmani — Thu, 20 Aug 2009 20:22:27 Z

Thanks for reply

I am using dsolve to solve an ode but my teacher wanted me to use dsolve involved implicit I could not find maple command for that?

could you please give me an example with that implicit=true in solving ode?

thanks

bye

implicit

Robert Israel — Thu, 20 Aug 2009 20:47:48 Z

> dsolve(diff(x(t),t) = t/x(t), x(t), implicit);

x(t)^2-t^2-_C1 = 0

I see the <maple> tag is acting up again: the result should be

x(t)^2-t^2-_C1 = 0