I am new to Maple, trying to see how do I add initial conditions to a system of differential equations. Here is an example problem, which has some error in it. What is wrong? This appears on the worksheet:
[$\frac{d}{dt}f1(t)=f2(t),\frac{d}{dt}f2(t)=-f2(t)$] (1)
pdsolve((1)) $$f1(t)=-C_1e^{-t}+C_2,f2(t)=C_1e^{-t}(2)$$
initialcondition($f1(1)=0,f2(0)=1$)(3)
pdsolve((1),(3))
Gives Error 'Too many arguments...'
What is wrong? I tried also including the ICs in the list together with the equations, but nothing seems to work...
Wrong syntax. The system of equations is to be written as
sys:= $\frac{d}{dt}f1(t)=f2(t),\frac{d}{dt}f2(t)=-f2(t)$
Then the proper syntax for adding initial conditions is
ics:=$f1(1)=0,f2(0)=1$
Finally, as Acer mentioned above, the proper command for an ODE system is
dsolve({sys,ics})
Which gives the correct solution $$f1(t)=-e^{-t}+e^{-1},f2(t)=e^{-t}$$