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matlabfunctionsymbolic-math

convert output of dsolve to function

How do I convert the expression which is solution to a differential equation to a function?

syms T(x)
ode = diff(T,x,2) + 0.002*(20 - T) == 0;
dsolve(ode, T(0) == 40, T(10) == 200)

The output of dsolve is an expression in variable x. I need to change it into function.

Solution

  • Call matlabFunction on the output of dsolve to convert from symbolic expression to function handle:

    syms T(x)
ode = diff(T,x,2) + 0.002*(20 - T) == 0;
s = dsolve(ode, T(0) == 40, T(10) == 200);
f = matlabFunction(s);

    This produces f as a handle to an anonymous function.