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Question: General solution of ODE

Question:General solution of ODE

John2020 220 Maple
ode dsolve differential-equations
May 13 2022
2

Hello,

How do we make the maple to produce as general solutions as possible for ode/pde ??

For example, I have the following ODE with initial conditions (cons);

eq:=diff(x[0](tau), tau) + x[0](tau) - diff(y[0](tau), tau) - y[0](tau)=0;

cons:= x[0](0)=1 , y[0](0)=1;

The general solution for this ode is as

x[0](tau) = y[0](tau) = exp( - tau ), 

but maple returns nothing.

when I use:

dsolve({cons, eq}, [v[0](tau), theta[0](tau)]);

Thanks.
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