Maple integration: 8 equations using final values of first 4 to solve second set

[pjconradie]

Hi
I have 8 equations where the first four are coupled and the second four is coupled. The first set is independent of the second set, BUT the second set requires the final values of first four variables (t(final),x(final),y(final),z(final)) to be integrated. How do you implement the use of the final values for the first four into the second set so that they could be integrated

sol_GE_S4:= dsolve({GE1_S4,GE2_S4,GE3_S4,GE4_S4,init_S4_GE},t(v),x(v),y(v),z(v)},numeric);

is the command to solve the first four.

EXAMPLE:
First set:
diff(t(v),v) = 0;
diff(x(v),v) = 0;
diff(y(v),v) = 0;
diff(z(v),v) = 0;

Second set:
diff(tau(v),v) + t(final) = 0;
[diff(r(v),v) + t(final)]*x(final)= 0;
[diff(theta(v),v) + t(final)]*y(final)= 0;
[diff(phi(v),v) + t(final)]*z(final)= 0;

How would you solve the second set ?

 

[gtoguy97]

You can use the following command to solve the second set of equations:sol_GE_S4_2 := dsolve({GE1_S4_2,GE2_S4_2,GE3_S4_2,GE4_S4_2,init_S4_GE_2},tau(v),r(v),theta(v),phi(v)},numeric,numeric,parameters=[t(final),x(final),y(final),z(final)]);where GE1_S4_2, GE2_S4_2, GE3_S4_2 and GE4_S4_2 are the second set of equations and init_S4_GE_2 is the initial condition for the second set. The parameters option allows you to specify the values for t(final), x(final), y(final) and z(final) which will be used in the integration of the second set of equations.