any suggestions to solve the follows differential equations by using maple???

 

see adjoint figure

If you're solving a system of equations then they should be written as an array in the first parameter, the second parameter should be the function you're trying to solve for. (same as using the solve command for non-differential equations).

 

e.g.

ec1 := Diff(f(t),t)^2 - 4*f(t)  = 0;
ec2 := Diff(f(t),t,t) - 2  = 0;
dsolve([ec1,ec2],f(t));

Edited November 2, 200916 yr by the tree

If you're solving a system of equations then they should be written as an array in the first parameter, the second parameter should be the function you're trying to solve for. (same as using the solve command for non-differential equations).

 

e.g.

ec1 := Diff(f(t),t)^2 - 4*f(t)  = 0;
ec2 := Diff(f(t),t,t) - 2  = 0;
dsolve([ec1,ec2],f(t));

 

i dont understand

where I place a(t) ?

If you're trying to solve for a(t) then you just need dsolve([ec1,ec2],a(t));.

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Alternatively, if you're trying to solve for all three functions at once (not that I'm sure you'd get a solution at all) then you use the PDEtools package to help with that. The relevant help file for doing so is called dsolve,system.

 

PDEtools[declare]((A,a,f)(t), prime = t);
ec1 :=  #whatever
ec2 :=  #whatever
dsolve([ec1,ec2]);

Note that'll have to use diff when defining the equations this way, rather than the inert Diff.