MATLAB: How linear system of equations can be solved in matlab

mathematicsMATLAB

How we can solve following linear system of equations in matlab?

A1_{x}=1i*a*(A1+A2);

A2_{x}=1i*a*(A1-A2);

A1_{t}=(-1i*a./2)*A1-A2;

A2_{t}=A1+(1i*a./2)*A2;

where A1=A1(x,t) and A2=A2(x,t) and "a" is an arbitrary constant. How can these equations can be solved in matlab?

And A1_{x} means partial derivative of A1 w.r.t "x".

Best Answer

Try this @Wajahat:

syms l p q
syms f1(x) f2(x)
%edited after sir Walters comment 
S1 = diff(f1) == l.^(-1).*1i.*p.*f1 + l.^(-1).*1i.*q.*f2;
S2 = diff(f2) == l.^{-1}.*1i.*q.*f1 - l.^{-1}.*1i.*p.*f2;
S = dsolve(S1,S2)
S.f2
S.f1

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