To solve the system of equations in MATLAB

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Suganya G 2021-11-16

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https://ww2.mathworks.cn/matlabcentral/answers/1587694-to-solve-the-system-of-equations-in-matlab

I'm trying to solve the following system of equation. I want solution in terms of h and t. Is it possible to find solution for this equation for 10 iterations? I don't have idea regarding this because h should be obtained in output as such. Please help me with the code for solving this.

Invalid use of operator.

Error in connector.internal.fevalMatlab

Error in connector.internal.fevalJSON
\begin{equation}
X_i(t)=\chi_iX_{i-1}(t)+h\int_{0}^{t}\left[\frac{dX_{i-1}(x)}{dx}+\sum_{j=0}^{i-1}X_j(x)Y_{i-1-j}(x)-(1-\chi_i)\right]dx
\end{equation}
\begin{equation}
Y_i(t)=\chi_iY_{i-1}(t)+h\int_{0}^{t}\left[\frac{dY_{i-1}(x)}{dx}+\sum_{j=0}^{i-1}Z_j(x)X_{i-1-j}(x)\right]dx
\end{equation}
\begin{equation}
Z_i(t)=\chi_iZ_{i-1}(t)+h\int_{0}^{t}\left[\frac{dZ_{i-1}(x)}{dx}-aY_{i-1}(x)+\alpha Z_{i-1}(x)\right]dx
\end{equation}
where $\chi_i=0 \ for \ i\leq 1 \ and \ 1 \ for \ i>1$. $a=0.1, \ \alpha=0.5$