Matlab program for the an integral equation

Question

I am trying to write a matlab program for the an integral equation such as below \begin{equation} x(s)-\int_{0}^{1}k(s, t)e^{x(t)}dt = 0 \ \ s \in [0,1], \end{equation} where $k(s,t)$ is given as \begin{equation} k(s,t) = \left \{ \begin{array}{cl} -t(1-s), & {\rm}\ t \leq s,\\ -s(1-t),& {\rm}\ s < t. \end{array} \right. \end{equation}

Could anyone please help?

Answer 1

A matlab program such as below can be written for $K(x,y),$

syms t s

for i = 1:length(t)

for j = 1:length(s)

if t<=s ;

ker=-t*(1-s(j));

elseif s < t;

ker=-s*(1-t(i));

end

end

end